The equation is .

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

                        (Subtract 2x from each side)

                        (Commutative property: )

                                      (Simplify)                      

                                (Divide each side by negative 2)

                                           (Cancel common terms)                                                                       

Graph by Making a Table:

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

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

\ x \	\ y = x – 3/2 \	\ y \	\ (x, y) \
\ – 4 \	\ – 4– 3/2 \	\ – 11/2 \	\ (– 4,   – 11/2) \
\ – 2 \	\ – 2– 3/2 \	\ – 7/2 \	\ (– 2, – 7/2) \
\ 0 \	\ 0– 3/2 \	\ – 3/2 \	\ (0, – 3/2) \
\ 2 \	\  2– 3/2 \	\ 1/2 \	\ (2, 1/2) \
\ 4 \	\  4– 3/2 \	\ 5/2 \	\ (4, 5/2) \

\

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