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#
