Name: ______________________________________________
Date: __________________
Period: _____
Algebra 1
Assignment 20: Point-Slope Form
Directions for 1-6: Write the equation for the line through the given point with the given slope in
Point-Slope Form.
Point-Slope Form: 𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏 )
1. Through: (2, 3) Slope = 4
3. Through: (6, 1) Slope =
2. Through: (5, −4) Slope = −2
1
4. Through: (−3, −2) Slope = 1
2
1
5. Through: (12, 0) Slope = − 3
6. Through: (−7, −2) Slope = 0
Directions for 7-12: Write the equation of the line through the given point with the given slope in
Slope-Intercept Form.
Slope-Intercept Form: 𝒚 = 𝒎𝒙 + 𝒃
1
7. Through: (1, 8) Slope = 3
8. Through: (4, −3) Slope =
9. Through: (−8, −5) Slope = 0
10. Through: (3, −6) Slope = −2
11. Through: (2, 6) Slope = 3
12. Through: (0, 10) Slope = − 3
4
2
Directions for 13-16: Write the equation of the line through the given point with the given slope in
Standard Form.
Standard Form: 𝑨𝒙 + 𝑩𝒚 = 𝑪
13. Through: (5, −4) Slope = −2
2
15. Through: (6, 7) Slope = − 3
14. Through: (8, 4) Slope =
1
4
16. Through: (−1, 3) Slope = 3
Slope Formula: 𝒎 =
𝒚𝟐 −𝒚𝟏
𝒙𝟐 −𝒙𝟏
Directions for 17-20: Write the equation in Point-Slope Form for the line that passes through the
given points (you will need to find the slope first). Point-Slope Form: 𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏 )
17. Through: (2, 1) 𝑎𝑛𝑑 (5, 7)
18. Through: (4, 2) 𝑎𝑛𝑑 (−2, 0)
19. Through: (−3, −5) 𝑎𝑛𝑑 (1, −4)
20. Through: (5, −1) 𝑎𝑛𝑑 (7, −9)
Directions for 21-24: Write the equation in Slope-Intercept Form for the line that passes through the
given points (you will need to find the slope first).
Slope-Intercept Form: 𝒚 = 𝒎𝒙 + 𝒃
21. Through: (2, 1) 𝑎𝑛𝑑 (5, 7)
22. Through: (−2, −3) 𝑎𝑛𝑑 (6, 1)
23. Through: (4, −5) 𝑎𝑛𝑑 (3, −2)
24. Through: (6, 4) 𝑎𝑛𝑑 (0, 2)
Directions for 25-28: Write the equation in Standard Form for the line that passes through the given
points (you will need to find the slope first). Standard Form: 𝑨𝒙 + 𝑩𝒚 = 𝑪 [same points as 21-24]
25. Through: (2, 1) 𝑎𝑛𝑑 (5, 7)
26. Through: (−2, −3) 𝑎𝑛𝑑 (6, 1)
27. Through: (4, −5) 𝑎𝑛𝑑 (3, −2)
28. Through: (6, 4) 𝑎𝑛𝑑 (0, 2)
Directions for 29: Write the equation for the line represented in the table below in Point-Slope Form.
Use the last point in the table. Point-Slope Form: 𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏 )
X
Y
Directions for 30: Identify the slope for each linear equation below.
30a. 𝑦 = −4𝑥 + 9
30b. 𝑦 − 7 = 3(𝑥 − 2)
30c. 2𝑥 + 3𝑦 = 6
–4
0
4
5
2
–1