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 𝑦 = 3𝑥 − 2
8. (4, 0), parallel to 𝑦 = 2 𝑥 + 9
1
3
1
9. (-5, 13), (-10, 9)
10. (-1, -4), perpendicular to 𝑦 = 6 𝑥 + 1
11. (-8, -4), parallel to 4𝑦 − 2𝑥 = −3
12. (12, 6), perpendicular to 2𝑦 − 8𝑥 = 2
2
13. m = 7, b = − 3
14. (1, 1), perpendicular to 4𝑦 = −𝑥 + 7
DIRECTIONS: Tell whether the lines for each pair of equations is parallel, perpendicular, or neither.
15. 𝑦 = 3𝑥 − 8
3𝑥 − 𝑦 = −1
18. 9𝑥 + 3𝑦 = 6
3𝑥 + 9𝑦 = 6
16. 3𝑥 + 2𝑦 = −5
2
𝑦 = 3𝑥 + 6
19. 𝑦 = −4
𝑦=4
5
17. 𝑦 = − 2 𝑥 + 11
−5𝑥 + 2𝑦 = 20
20. 𝑥 = 10
𝑦 = −2