WRITING LINEAR EQUATIONS
Step 1: Determine what form of a linear equation you’re going to use to start (this doesn’t mean you answer
will end with that form) – point-slope or slope-intercept
Step 2: Find all of the information that you need to start your equation.
Slope-Intercept Form
 Slope of the new line
 Y-intercept of the new line
Point-Slope Form
One point on the new line
Slope of the new line
Step 3: Put the information that you have into the form that you chose in Step 1
Step 4: If necessary, rewrite your equation into its final form.
DIRECTIONS: Write an equation in slope intercept form for a line using the information that is given.
1
1. (-2, 3), m = -1
2. (1, 2), m = 2
3. (5, 7), (6, 8)
4. (4, 7), (2, 10)
5. m = 4, b = 8
6. m = − 5, b = –3
7. (6, 4), perpendicular to  = 3 − 2
8. (4, 0), parallel to  = 2  + 9
1
3
1
9. (-5, 13), (-10, 9)
10. (-1, -4), perpendicular to  = 6  + 1
11. (-8, -4), parallel to 4 − 2 = −3
12. (12, 6), perpendicular to 2 − 8 = 2
2
13. m = 7, b = − 3
14. (1, 1), perpendicular to 4 = − + 7
DIRECTIONS: Tell whether the lines for each pair of equations is parallel, perpendicular, or neither.
15.  = 3 − 8
3 −  = −1
18. 9 + 3 = 6
3 + 9 = 6
16. 3 + 2 = −5
2
 = 3 + 6
19.  = −4
=4
5
17.  = − 2  + 11
−5 + 2 = 20
20.  = 10
 = −2
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WRITING LINEAR EQUATIONS

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