# What is the slope of any line perpendicular to the line passing through #(-17,23)# and #(21,25)#?

##### 2 Answers

Jul 11, 2018

#### Explanation:

#"calculate the slope m using the "color(blue)"gradient formula"#

#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#

#"let "(x_1,y_1)=(-17,23)" and "(x_2,y_2)=(21,25)#

#m=(25-23)/(21-(-17))=2/38=1/19#

#"the slope of any perpendicular line is"#

#•color(white)(x)m_(color(red)"perpendicular")=-1/m=-1/(1/19)=-19#

Jul 11, 2018

#### Explanation:

The slope

We know that the product of slope of two perpendicular lines is