The equation is .

Apply subtraction property of equality: Subtract 6 from each side.

                     (Apply additive inverse property: )

                           (Subtract: )

Apply division property of equality: Divide each side by 4.

                        (Cancel common terms)

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: )

                             (Divide: )

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)

Apply multiplication property of equality: Multiply each side by 4.

                (Apply multiplication property of zero: )

                             (Cancel common terms)

Apply addition property of equality: Add 9 to each side.

                                    (Apply additive inverse property: )

                               (Divide each side by 2)

                                    (Cancel common terms)

                                   (Divide: )

The x-intercept is 4.5, so the graph intersects the x-axis at (4.5, 0).

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