# How do you find the slope of the line that is perpendicular to the line through (1, 9) and (10, 3 and 1/2)?

##### 1 Answer

Aug 5, 2016

Find the slope of the line by dividing the change in the y values by the change in the x values. Then take the negative inverse of the slope of the line.

#### Explanation:

The slope equals the change in

#y = 9 - 3 1/2 = 5 1/2#

#x = 1 - 10 = -9#

#"slope" = (5 1/2)/(-9)#

Multiply

#"slope" = - 11/18#

The **negative inverse** is

So the slope of the line that is perpendicular to the line is