The equation is .

Find the x-intercept.

The x-intercept is the value of x, when y = 0.

                  (Substitute y = 0 in original equation)

                               (Apply zero product property: )

Apply division property of equality: if a = b, then.

                          (Divide each side by 3)

                                    (Cancel common terms)

The x-intercept is 8, so the graph intersects the x-axis at (8, 0).

First find the slope of the line .

Rewrite the line in slope-intercept form y = mx + b, where m is slope and b is y-intercept.  

Apply subtraction property of equality: if a = b, then.

      (Subtract 3x from each side)

                     (Apply additive inverse property: )

           (Divide each side by negative 2)

                        (Cancel common terms) \ \

Compare the equation with slope-intercept form and find the slope of the line.

=

If two lines are perpendicular, the slope (m₁) of one line is opposite reciprocal of the second line slope (m₂). It can be represented as, .

Slope of the line perpendicular to given line is 

So, slope of the new line = .

Graph the line using given point and slope.

1.      Draw a coordinate plane.

2.      Plot the given point (8, 0).

3.   Find the next point using . Start at (8, 0) and go down 2 units and 3 units right, then mark a dot and label it.

4.   Draw a line through these points.

Graph of the line passing through the point (8, 0) and slope is