What is the slope of any line perpendicular to the line passing through #(15,-12)# and #(30,34)#?
1 Answer
Mar 23, 2018
Explanation:
#"to calculate the slope m use the "color(blue)"gradient formula"#
#•color(white)(x)m=(y_2-y_1)/(x_2-x_1)#
#"let "(x_1,y_1)=(15,-12)" and "(x_2,y_2)=(30,34)#
#rArrm=(34-(-12))/(30-15)=46/15#
#"the slope of any line perpendicular to it is "#
#•color(white)(x)m_(color(red)"perpendicular")=-1/m#
#rArrm_("perpendicular")=-1/(46/15)=-15/46#
