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Graphing linear equations

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A lesson on graphing linear equations appropriate for middle and high school Algebra or Pre-Algebra students.

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Graphing linear equations

1. 1. Linear Equation: an equation whose graph forms a line. 1143 =− yx 262 +−= xxy is linear. is not. In linear equations, all variables are taken to the first power. Linear means of a line. So a linear equation is the equation of a line. Why?
2. 2. Suppose you were asked to graph the solution set of the linear equation, .3=+ yx You could start by creating a table of values. x y
3. 3. Choose any number to use as x or y . . . 3=+ yx x y 0
4. 4. 3=+ y . . . and substitute the number for the variable. 3 0x 3=y x y 0 Then calculate to find,
5. 5. 3=+ y Continue, until you have 3 sets of x and y values. 3 3x x y 0 3 0
6. 6. 3=+x Continue, until you have 3 sets of x and y values. 3 x y 0 3 0 y 6 3− 6
7. 7. With your table completed for three sets of values, you are ready to graph the line. 3 x y 0 3 0 6 3− 3=+ yx
8. 8. When x is 0, y is 3, so plot the point, (0, 3). 3 x y 0 3 0 6 3− 3=+ yx ( )3,0
9. 9. And when x is 3, y is 0, so plot the point, (3, 0). 3 x y 0 3 0 6 3− 3=+ yx ( )0,3
10. 10. And finally, when x is -3, y is 6, so plot the point, (-3, 6). 3 x y 0 3 0 6 3− 3=+ yx ( )6,3−
11. 11. If the three points do not line up, you need to find your mistake. 3 x y 0 3 0 6 3− 3=+ yx If they do line up, you just need to connect the dots.
12. 12. This is the graph of the linear equation, .3=+ yx
13. 13. Create a table of values for each equation, and graph it on grid paper: 1. 2. 3. 5−=− yx 72 =+ yx 42 −= xy 4. 1 2 1 += xy