The equation is .

        (Subtract 2x from each side)

        (Apply commutative property of addition: ) 

                     (Apply additive inverse property: )

              (Divide each side by 7)

                  (Cancel common terms)

                       (Divide: )

         (Multiply each side by negative one)

                     (Product of two same signs is positive)

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 2 to each side)

         (Apply commutative property of addition: ) 

                               (Apply additive inverse property: )

                       (Multiply each side by 7)

                             (Cancel common terms)

                        (Divide each side by 2)

                                   (Cancel common terms)

The x-intercept is 7, so the graph intersects the x-axis at .

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