The equation is .

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

                        (Add 4x 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 = – 4/3 x + 6 \	\ y \	\ (x, y) \
\ – 4 \	\ – 4/3 (– 4) + 6 \	\ 34/3 \	\ (– 4,   34/3) \
\ – 2 \	\ – 4/3 (– 2) + 6 \	\ 26/3 \	\ (– 2, 26/3) \
\ 0 \	\ – 4/3 (0) + 6 \	\ 6 \	\ (0, 6) \
\ 2 \	\ – 4/3 ( 2) + 6 \	\  10/3 \	\ (2, 10/3) \
\ 4 \	\ – 4/3 (– 4) + 6 \	\  2/3 \	\ (4, 2/3) \

\

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