The equation is .

         (Subtract from each side)

        (Apply commutative property of addition: )

                              (Apply additive inverse property: )

First find the y-intercept.

The y-intercept is the value of y, when x = 0.

                           (Substitute x = 0 in original equation)

                                        (Apply multiplication property of zero: )

The y-intercept is , so the graph intersects the y-axis at .

Next find the x-intercept.

The x-intercept is the value of x, when y = 0.

                              (Substitute y = 0 in original equation)

                  (Add 7 to each side)

                  (Apply commutative property of addition: )

                                   (Additive inverse property: )

                        (Multiply each side by 3)

                                (Cancel common terms)

                                    (Multiply: )

                               (Divide each side by 2)

                                    (Cancel common terms)

                                   (Divide: )

                     (Multiply each side by negative one)

                                  (Product of two same signs is positive)

The x-intercept is , so the graph intersects the x-axis at .

Graph Using Intercepts:

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 linear equation is