What is the slope of any line perpendicular to the line passing through #(-9,5)# and #(2,-43)#?

2 Answers
Alan P.
Jul 8, 2016

#color(blue)(11/48)#

Explanation:

If a line has a slope of #color(green)(m)#
then any line perpendicular to it has a slope of #color(green)(""(-1/m))#

A line through #(-9,5)# and #(2,-43)# has a slope of
#color(white)("XXX")m=(Deltay)/(Deltax)=(5-(-43))/(-9-2)=-48/11#

So any line perpendicular to this has a slope of
#color(white)("XXX")11/48#

Ratnaker Mehta
Jul 8, 2016

Reqd. Slope #=11/48.#

Explanation:

Let us name the line passing thro. two given pts. #L#.

Then, Slope of #L = (5-(-43))/(-9-2)=48/-11.#

Therefore, the slope of any line perp. to #L# is given by #-1/(48/-11)=11/48#

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