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 than a c = b c.

         (Subtract 2x from each side)

                           (Apply additive inverse property: 2x 2x = 0)

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

                  (Divide each side by 3)

                      (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 (2, 1).

3.   Find the next point using . Start at (2, 1) and go up 3 units and 2 units right, then mark a dot and label it.

4.   Draw a line through these points.

Graph of the line passing through the point (2, 1) and slope is