IV. Practice Exercises

A. Rewrite the linear equation in the form = + .

1. 2 + = 9

2. x + 2y = -8

B. Rewrite the linear equation in the form + =

3. = − + 4

4. y = 5x + 7

C. Sketch the line on a Cartesian coordinate plane using the given pair of points:

5. (2, −3) and (−5,8)

6. (0, −4) and (6,0)

D. Given the equation,

7. y = -3x + 3

a. Give the x- and y-intercepts

b. Write the two points representing the x-intercept (a,0), and the y-intercept (0,b).

c. Plot the x- and y-intercepts on the Cartesian Plane and connect the points.

E. Graph the line given the slope and passing through the given point.

8. m = -5 , (7, 3)

9. m =

4

7 , (1, -1)

F. Describe the graph of each linear equation given slope m and y-intercept.

10. = 2 and = 3

11. = −3 and = −3

2

12. = 1 and = 3​