Practice: Section 6-2

Writing Linear Equations in Point-Slope and Standard Form

Part 1: Equations in Standard Form

Directions: Write the equation in standard form (Ax + By = C) of the line that passes through the given point and has the given slope.

1. (1, 1);  m = 1
4

2. (6, 0);  m = −1
2

3. (−2, 1);  m = 1

4. (−6, −2);  m = −1
3

5. (3, −4);  m = 0

6. (−4, 1);  m = 3
2

7. (0, 0);  m = −3

8. (5, −3);  m is undefined (none)

Part 2: Equations in Point-Slope Form

Directions: Write the equation in point-slope form [y − y1 = m(x − x1)] of the line that passes through each pair of points.

9. (−1, −7) and (1, 3)

10. (5, 3) and (−4, 3)

11. (−4, 6) and (−2, 5)

12. (2, −6) and (2, 5)

13. (−3, −2) and (4, 5)

14. (−5, 1) and (0, −2)