What is the slope of any line perpendicular to the line passing through #(-3,-8)# and #(5,2)#?
1 Answer
Jun 18, 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,-8)" and "(x_2,y_2)=(5,2)#
#m=(2-(-8))/(5-(-3))=10/8=5/4#
#"the perpendicular slope is the "color(blue)"negative reciprocal"" of m"#
#m_("perpendicular")=-1/m=-1/(5/4)=-4/5#
