# What is the slope of any line perpendicular to the line passing through #(-3,6)# and #(-2,-3)#?

##### 1 Answer

Jun 23, 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)=(-3,6)" and "(x_2,y_2)=(-2,-3)#

#m=(-3-6)/(-2-(-3))=(-9)/5=-9/5#

#"the perpendicular slope is the "color(blue)"negative reciprocal"" of m"#

#m_(color(red)"perpendicular")=-1/(-9/5)=5/9#