What is the slope of any line perpendicular to the line passing through #(6,26)# and #(3,41)#?
1 Answer
May 3, 2018
Explanation:
#"given a line with slope m then the slope of a line"#
#"perpendicular to it is "#
#•color(white)(x)m_(color(red)"perpendicular")=-1/m#
#"calculate m using the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(6,26)" and "(x_2,y_2)=(3,41)#
#rArrm=(41-26)/(3-6)=15/(-3)=-5#
#rArrm_("perpendicular")=-1/(-5)=1/5#
