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# 3 2 linear equations and lines

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## 3 2 linear equations and linesPresentation Transcript

• Linear Equations and Lines
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
(y can be anything).
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
(y can be anything).
Make a table of ordered pairs of points that fit the description
x = –4.
• Linear Equations and Lines
Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
(y can be anything).
Make a table of ordered pairs of points that fit the description
x = –4.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
(y can be anything).
Make a table of ordered pairs of points that fit the description
x = –4.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
(y can be anything).
Make a table of ordered pairs of points that fit the description
x = –4.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
(y can be anything).
Make a table of ordered pairs of points that fit the description
x = –4.
• Linear Equations and Lines
In the rectangular coordinate system, ordered pairs (x, y)’s correspond to locations of points. Collections of points may be specified by the mathematics relations between the
x-coordinate and the y coordinate. The plot of points that fit a given relation is called the graph of that relation. To make a graph of a given mathematics relation, make a table of points that fit the description and plot them.
Example A. Graph the points (x, y) where x = –4
(y can be anything).
Make a table of ordered pairs of points that fit the description
x = –4.
Graph of x = –4
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
Graph the points (x, y) where y = x
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
Graph the points (x, y) where y = x
• Linear Equations and Lines
Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
Graph the points (x, y) where y = x
• Example B. Graph the points (x, y) where y = x.
Make a table of points that fit the description y = x. To find one such point, we set one of the coordinates to be a number, any number, than use the relation to find the other coordinate. Repeat this a few times.
Graph the points (x, y) where y = x
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers.
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations.
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines.
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation.
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x,
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x, plug it into the equation and solve for the y
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x, plug it into the equation and solve for the y (or assign a value to y and solve for the x).
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x, plug it into the equation and solve for the y (or assign a value to y and solve for the x). For graphing lines, find at least two ordered pairs.
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x, plug it into the equation and solve for the y (or assign a value to y and solve for the x). For graphing lines, find at least two ordered pairs.
Example C.
Graph the following linear equations.
y = 2x – 5
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x, plug it into the equation and solve for the y (or assign a value to y and solve for the x). For graphing lines, find at least two ordered pairs.
Example C.
Graph the following linear equations.
y = 2x – 5
Make a table by selecting a few numbers for x.
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x, plug it into the equation and solve for the y (or assign a value to y and solve for the x). For graphing lines, find at least two ordered pairs.
Example C.
Graph the following linear equations.
y = 2x – 5
Make a table by selecting a few numbers for x. For easy caluation we set x = -1, 0, 1, and 2.
• Linear Equations and Lines
First degree equation in the variables x and y are equations that may be put into the form Ax + By = C where A, B, C are numbers. First degree equations are the same as linear equations. They are called linear because their graphs are straight lines. To graph a linear equation, find a few ordered pairs that fit the equation. To find one such ordered pair, assign a value to x, plug it into the equation and solve for the y (or assign a value to y and solve for the x). For graphing lines, find at least two ordered pairs.
Example C.
Graph the following linear equations.
y = 2x – 5
Make a table by selecting a few numbers for x. For easy caluation we set x = -1, 0, 1, and 2. Plug each of these value into x and find its corresponding y to form an ordered pair.
• Linear Equations and Lines
For y = 2x – 5:
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5 = -5
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5 = -5
If x = 1, then
y = 2(1) – 5 = -3
If x = 2, then
y = 2(2) – 5 = -1
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5 = -5
If x = 1, then
y = 2(1) – 5 = -3
If x = 2, then
y = 2(2) – 5 = -1
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5 = -5
If x = 1, then
y = 2(1) – 5 = -3
If x = 2, then
y = 2(2) – 5 = -1
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5 = -5
If x = 1, then
y = 2(1) – 5 = -3
If x = 2, then
y = 2(2) – 5 = -1
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5 = -5
If x = 1, then
y = 2(1) – 5 = -3
If x = 2, then
y = 2(2) – 5 = -1
• Linear Equations and Lines
For y = 2x – 5:
If x = -1, then
y = 2(-1) – 5 = -7
If x = 0, then
y = 2(0) – 5 = -5
If x = 1, then
y = 2(1) – 5 = -3
If x = 2, then
y = 2(2) – 5 = -1
• Linear Equations and Lines
b. -3y = 12
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6
Make a table.
However the only selction for x is x = 6
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6
Make a table.
However the only selction for x is x = 6
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6
Make a table.
However the only selction for x is x = 6 and y could be any number.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6
Make a table.
However the only selction for x is x = 6 and y could be any number.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6
Make a table.
However the only selction for x is x = 6 and y could be any number.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6
Make a table.
However the only selction for x is x = 6 and y could be any number.
• Linear Equations and Lines
b. -3y = 12
Simplify as y = -4
Make a table by
selecting a few numbers for x.
However, y = -4 is always.
c. 2x = 12
Simplify as x = 6
Make a table.
However the only selction for x is x = 6 and y could be any number.
• Linear Equations and Lines
Summary of the graphs of linear equations:
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5 b. -3y = 12
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5 b. -3y = 12
If the equation has only y (no x), the graph is a horizontal line.
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5 b. -3y = 12
If the equation has only y (no x), the graph is a horizontal line.
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5 b. -3y = 12 c. 2x = 12
If the equation has only y (no x), the graph is a horizontal line.
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5 b. -3y = 12 c. 2x = 12
If the equation has only x (no y), the graph is a
vertical line.
If the equation has only y (no x), the graph is a horizontal line.
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
Summary of the graphs of linear equations:
a. y = 2x – 5 b. -3y = 12 c. 2x = 12
If the equation has only x (no y), the graph is a
vertical line.
If the equation has only y (no x), the graph is a horizontal line.
If both variables
x and y are
present in the
equation, the graph is a
tilted line.
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis;
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis;
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method,
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
y-int
x-int
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
If x = 0, we get
2(0) – 3y = 12
y-int
x-int
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
If x = 0, we get
2(0) – 3y = 12
so y = -4
y-int
x-int
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
If x = 0, we get
2(0) – 3y = 12
so y = -4
y-int
If y = 0, we get
2x – 3(0) = 12
x-int
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
If x = 0, we get
2(0) – 3y = 12
so y = -4
y-int
If y = 0, we get
2x – 3(0) = 12
so x = 6
x-int
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
If x = 0, we get
2(0) – 3y = 12
so y = -4
y-int
If y = 0, we get
2x – 3(0) = 12
so x = 6
x-int
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
If x = 0, we get
2(0) – 3y = 12
so y = -4
y-int
If y = 0, we get
2x – 3(0) = 12
so x = 6
x-int
• Linear Equations and Lines
The x-Intercepts is where the line crosses the x-axis. We set y = 0 in the equation to find the x-intercept.
The y-Intercepts is where the line crosses the y-axis. We set x = 0 in the equation to find the y-intercept.
Since two points determine a line, an easy method to graph linear equations is the intercept method, i.e. plot the x-intercept and the y intercept and the graph is the line that passes through them.
Example C. Graph 2x – 3y = 12
by the intercept method.
If x = 0, we get
2(0) – 3y = 12
so y = -4
y-int
If y = 0, we get
2x – 3(0) = 12
so x = 6
x-int