The equation is .

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

                        (Subtract x to each side)

                                     (Simplify)                      

                               (Divide each side by 6)

                             (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 =- x/6+2 \	\ y \	\ (x, y) \
\ – 4 \	\  4/6+2 \	\  8/3 \	\ (– 4,  8/3) \
\ – 2 \	\  2/6+2 \	\ 7/3 \	\ (– 2, 7/3) \
\ 0 \	\ – 0/6+2 \	\ 2 \	\ (0, 2) \
\ 2 \	\ – 2/6+2 \	\ 4/3 \	\ (2, 5/3) \
\ 4 \	\ – 4/6+2 \	\ 5/3 \	\ (4, 4/3) \

\

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