# What is the slope any line perpendicular to the line passing through #(-8,1)# and #(-5,12)#?

##### 1 Answer

Jun 28, 2017

#### Explanation:

#"given a line with slope m then the slope of any line"#

#"perpendicular to it is"#

#m_(color(red)"perpendicular")=-1/m#

#"to find m use the "color(blue)"gradient formula"#

#color(red)(bar(ul(|color(white)(2/2)color(black)(m=(y_2-y_1)/(x_2-x_1))color(white)(2/2)|)))#

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

#"the points are " (x_1,y_1)=(-8,1),(x_2,y_2)=(-5,12)#

#rArrm=(12-1)/(-5-(-8))=11/3#

#rArrm_(color(red)"perpendicular")=-1/(11/3)=-3/11#