Question 1079559
Given points slope: {{{(4-(-2))/(6-4)=3}}}
Given points line:  {{{y=3x-14}}}
Midpoint of given points:  (5,1)


The perpendicular line's slope is {{{-1/3}}}.


Equation of the perpendicular line:  {{{y-1=-(1/3)(x-5)}}}
{{{y=-x/3+5/3+3/3}}}
{{{y=-x/3+8/3}}}
{{{highlight_green(y=-x/3+2&2/3)}}}



{{{graph(350,350,-13,13,-13,13,3x-14,-x/3+8/3)}}}