What is the slope of any line perpendicular to the line passing through (9,15) and (7,2)?

2 Answers
Apr 10, 2018

-2/13

Explanation:

Let the slope of the line joining the 2 points be m and the slope of the line perpendicular to it be m_1.

m=(y_2-y_1)/(x_2-x_1)

m=(15-2)/(9-7)=13/2

We know, mm_1=-1

So m_1=-2/13 [ANS]

Apr 10, 2018

"perpendicular slope "=-2/13

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)=(9,15)" and "(x_2,y_2)=(7,2)

rArrm=(2-15)/(7-9)=(-13)/(-2)=13/2

"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

rArr"perpendicular slope "=-1/(13/2)=-2/13