The equation is .

Apply subtraction property of equality: Subtract 5x from each side.

Apply commutative property of addition: .

                        (Apply additive inverse property: )

Apply division property of equality: Divide each side by 10.

                     (Cancel common terms)

                            (Divide: )

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 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 2.

                       (Cancel common terms)

                             (Apply zero product property: )

                               (Multiply: )

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

                                    (Apply additive inverse property: )

The x-intercept is 12, so the graph intersects the x-axis at (12,0).

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