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

1 Answer
Jun 23, 2018

"perpendicular slope "=5/9

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