Name __________________
Algebra, Period __________
Date ______________
Writing Equations in Point-Slope form
y – y1 = m(x – x1)
Write each problem using Point-Slope form containing the given point and slope or the given points.
1. (2,2); m =1
2. (1, 3); m = 3
3. (-2, 1); m = -1
4. (-1, -3); m = 2
5. (1, 0); m =
1
6. (3, -2); m = 0
3
7. (0, -3); m =
−2
3
8. (1, 2); m =
−1
2
9. (0, 4); (-2, 3)
10. (4, -3); (3, -3)
11. (-2, 1); (-2, 5)
12. (-2, -4); (3, 1)
13. (-1, -2); (5, 2)
Covert the following equations from point slope form to slope-intercept form.
14.) 𝑦 − 5 = 5(𝑥 − 2)
15.) 𝑦 − 4 =
3
16.) 𝑦 + 6 = 1(𝑥 − 2)
17.) 𝑦 + 2 =
7
4
6
(𝑥 − 2)
(𝑥 − 4)
1
18.) 𝑦 − 4 = − 2 (𝑥 + 2)
Find the point and slope in the following equations
1
19.) 𝑦 − 0 = −3(𝑥 + 3)
Slope:
Point:
20.) 𝑦 − 1 = 4 (𝑥 + 6)
Slope:
Point:
21.) 𝑦 − 1 = 1(𝑥 + 4)
Slope:
Point:
22.) 𝑦 − 6 = 3(𝑥 − 0)
Slope:
Point:
3
23.) 𝑦 + 4 = 4 (𝑥 + 2)
Slope:
Point:
2
1
24.) 𝑦 − 2 = 5 (𝑥 − 2)
Slope:
Point: