The equation is .

Find the x-intercept.

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

                      (Substitute y = 0 in original equation)

                                (Simplify)

                            (Divide each side by 3) \ \

                                     (Simplify)

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

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.   \ \

          (Subtract 3x from each side) \ \

                      (Simplify) \ \

              (Divide each side by negative 2) \ \

                        (Simplify)        

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