# What is the slope of any line perpendicular to the line passing through #(-6,17)# and #(2,18)#?

##### 2 Answers

#### Explanation:

First, we need to find the slope of the line passing through

If we multiply the slope of any line with

So;

slope = -8

#### Explanation:

The first step is to calculate the gradient ( slope) of the line passing through the 2 given points using the

#color(blue)" gradient formula " #

# m = (y_2 - y_1)/(x_2 - x_1) # where

# (x_1,y_1)" and " (x_2,y_2)" are 2 coordinate points "# let

# (x_1,y_1)=(-6,17)" and " (x_2,y_2)=(2,18) #

# rArr m = (18-17)/(2-(-6)) = 1/8 # If 2 lines with gradients , say

#m_1" and " m_2" are perpendicular"# Then

# m_1 xx m_2 = -1 #

#rArr 1/8xxm_2 = -1 rArr m_2 =-1/(1/8) = -8 #