1. The document appears to be notes from a math class covering linear equations and graphs. It includes examples of writing equations in standard form, graphing linear equations, finding x- and y-intercepts, and using linear equations to determine if an ordered pair is a solution. 2. The notes define key concepts like what makes an equation linear, how to graph linear equations of the form y=mx, y=mx+c, and horizontal and vertical lines. Examples are provided of finding intercepts and using linear equations to check solutions. 3. Practice problems are included for students to complete involving graphing, finding intercepts, determining if ordered pairs are solutions, and matching linear equations to their graphs.

1. 1

2. Warm-Up
1. A 66 ft. board is cut into three pieces. The second piece is
1.5 times longer than the first. The third piece is three
times as long as the first. How long is each piece?
4. Solve and graph the following: -5< x - 4 <2
Class Notes & Practice Problems Section of Notebook
2

3. Standard Form of a linear equation: Ax + By = C
A, B, & C are all constants and..
a.) A and B are not both zero.
b.) The largest exponent is not greater than 1
Change to Standard Form:
4y + 2 = 6x

5. Graphs of y = b
Where b is any number
y = b are always horizontal lines,
and are functions
Graphs of x = a
Where a is any number
x = a are always vertical lines, and
are not functions
5

6. Graphs of y = mx
y = "a number times x"
y = mx lines will always go through
the origin, and will be at the angle
shown.
Graphs of y = mx + c
y = "a number times x plus c"
y = mx + c are similar in shape to y = mx,
but do not go through the origin.
6

7. Defining Linear Equations
HOW DO I KNOW IF AN EQUATION IS
LINEAR?
If an equation is linear, the result is a
straight line.
7

8. Solutions to Linear Equations
To ask "Is the ordered pair (1,3) a solution to the equation
y = 10x - 7?", is the same as asking, " Is the point (1,3) on
the line of y = 10x -7"? How do we know?
Determine whether the following ordered pairs are solutions to
the equation y = 10x -7
a.) (1,3) b.) (2, 13) c.) (-1,-3)
8

9. Finding the x-and y-intercepts of Linear Equations
What does it mean to INTERCEPT a pass in football?
The path of the defender crosses the path of the thrown
football.
In algebra, what are x- and y-intercepts?
9

10. The x-intercept is where
the graph crosses the xaxis.
The y-coordinate is
always zero.
The y-intercept is where
the graph crosses the yaxis.
The x-coordinate is always
zero.
(2, 0)
(0, 6)
10

11. What do you notice about the value of ‘C’ above?
11

12. 9
5

14. 1.
2.
3.
4.
(3, 0)
(8, 0)
(0, -4)
(0, -6)

15. 1.
2.
3.
4.
(-1, 0)
(-8, 0)
(0, 2)
(0, 4)

16. What is the y-intercept of
x = 3?
1.
2.
3.
4.
(3, 0)
(-3, 0)
(0, 3)
None

17. We are going to watch a series of short videos. Your task is to
graph what happens in the video. Each action is 15 seconds
long, and the video is repeated again at half speed.
The x variable is given on each graph. You will add the y
variable before watching the video. Please number your
graphs, matching the order of the video watched.

18. Elevation:

19. Follow Closely: