What is the slope of any line perpendicular to the line passing through #(3,1)# and #(-7,19)#?
1 Answer
Jun 20, 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)=(3,1)" and "(x_2,y_2)=(-7,19)#
#m=(19-1)/(-7-3)=18/(-10)=-9/5#
#"the perpendicular slope is the "color(blue)"negative inverse"#
#"of m"#
#m_("perpendicular")=-1/m=-1/(-9/5)=5/9#
