What is the slope of any line perpendicular to the line passing through (-25,18) and (10,-21)?
1 Answer
Jun 12, 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)=(-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