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.

             (Add 2y to each side)

                           (Simplify)

                (Subtract 6 from each side) \ \

                          (Simplify) 

                    (Divide each side by 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 (4, -2).

3.   Find the next point using . Start at (4, -2) and go down 2 units and 3 unit right, then mark a dot and label it.

4.   Draw a line through these points.

Graph of the line passing through the point (4, -2) and slope is