Slope of the perpendicular line is .

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, 1).

3.   Find the next point using . Start at (4, 1) and go up 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 (-4, 1) and slope is