What is the slope of any line perpendicular to the line passing through #(-9,35)# and #(2,2)#?
1 Answer
Aug 5, 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)=(-9,35)" and "(x_2,y_2)=(2,2)#
#m=(2-35)/(2-(-9))=(-33)/11=-3#
#"Given a line with slope m then the slope of a line"#
#"perpendicular to it is"#
#m_(color(red)"perpendicular")=-1/m#
#m_("perpendicular")=-1/(-3)=1/3#
