Question 1087026
I'm assuming there shouldn't be a "y" after the 7 on the right hand side.
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{{{4x+3y=7}}}
Find the slope.
{{{3y=-4x+7}}}
{{{y=-(4/3)x+7/3}}}
Perpendicular lines have slopes that are negative reciprocals,
{{{m[P]*(-4/3)=-1}}}
{{{m[P]=3/4}}}
So then,
{{{ y-2=(3/4)(x+5) }}}
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*[illustration g1.JPG].