The equation is .

Apply addition property of equality: Add 7 to each side.

                       (Apply additive inverse property: )

                            (Add: )

Apply division property of equality: Divide each side by 3.

                          (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 2.6, 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 3.

                 (Apply multiplication property of zero: )

                              (Cancel common terms)

Apply subtraction property of equality: Subtract 8 from each side.

                                 (Apply additive inverse property: )

                            (Divide each side by 4)

                                 (Cancel common terms)

                                   (Divide: )

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