What is the slope of any line perpendicular to the line passing through (-25,18) and (10,-21)?

1 Answer
Jun 12, 2018

"perpendicular slope "=35/39

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)=(-25,18)" and "(x_2,y_2)=(10,-21)

m=(-21-18)/(10-(-25))=(-39)/35=-39/35

"the slope of any line perpendicular to this is"

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

rArrm_("perpendicular")=-1/(-39/35)=35/39