The equation is .

Apply subtraction property of equality: 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)

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

Apply commutative property of addition: .

                          (Apply additive inverse property: )

Apply multiplication property of equality: Multiply each side by 3.

                       (Cancel common terms)

                           (Multiply: )

Apply division property of equality: 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