The equation is .

Rewrite the equation in slope-intercept form y = mx + c.

                        (Add 2x to each side)

                        (Commutative property: )

                                         (Simplify)                      

                                    (Divide each side by negative 3)

                                     (Cancel common terms)  

                                          (Divide: )                                                                   

Graph by Making a Table:

Make a table; choose some values for x and find the corresponding values for y. 

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ x \	\ y = – 2/3 x –7 \	\ y \	\ (x, y) \
\ – 4 \	\ – 2/3 (– 4) –7 \	\ – 13/3 \	\ (– 4,   – 13/3) \
\ – 2 \	\ – 2/3 (– 2) –7 \	\ – 17/3 \	\ (– 2, – 17/3) \
\ 0 \	\ – 2/3 (0) –7 \	\ – 7 \	\ (0, – 7) \
\ 2 \	\ – 2/3 (2) –7 \	\ – 25/3 \	\ (2, – 25/3) \
\ 4 \	\ – 2/3 ( 4) –7 \	\ – 29/3 \	\ (4, – 29/3) \

\

Use these ordered pairs to graph the equation.

1.     Draw a coordinate plane.

2.     Plot the points.

3.     Draw a line through these points.

Graph for the equation is