# Problem 959

The   slope of a given line is shown below. Find the slope of a line parallel to the given line and the slope of a line perpendicular to the given line.

m = -12

Solution:-

First find the slope of a line parallel to the given line.

Two nonvertical lines are parallel if and only if their slopes are equal and they have different y-intercepts. Vertical lines are parallel if they have different x-intercepts.

Therefore, the slope of a line parallel to the given line is m = -12.

Now fins the slope of a line perpendicular to the given line.

Two nonvertical lines are perpendicular if and only if the product of their slopes is -1. Put another way, two nonvertical lines are perpendicular  if their slopes are negative reciprocals of each other. Any vertical line is perpendicular to any horizontal line.

To find the slope of a line perpendicular to a given line, determine the negative reciprocal of the slope of the given line.

The negative reciprocal of -12 is

Therefore, the slope of a line perpendicular to the given line is  m  =