Question 115573
IF the line is perpendicular to a line w/ a slope of {{{3/4}}}, then it must have a slope of {{{-1/(3/4)=-4/3}}}


slope={{{(y-increment)/(x-increment)}}}


Let's use (2,3) and (5,y).

slope={{{(y-3)/(5-2)=(y-3)/(3)}}}

This, must be equal to {{{-4/3}}}


{{{(y-3)/(3)=-4/3}}}

bY CROSS MULTIPLICATION.

{{{-4*3=3(y-3)}}}
{{{-12=3y-9}}}
{{{3y-9=-12}}}
{{{3y-9+9=-12+9}}}
{{{3y+0=-3}}}
{{{3y=-3}}}
{{{y=-1}}}


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