Question 1086174
Given line  4x+5y=9
Given point  (4,-2)
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Parallel to given line, contains given point
{{{4x+5y=4*(4)+5*(-2)}}}
{{{4x+5y=16-10}}}
{{{5y=-4x+6}}}
{{{y=-(4/5)x+6/5}}}-------slope-intercept form


Perpendicular to given line, containing given point of (4,-2)
{{{y-(-2)=(5/4)(x-4)}}}----starting from point-slope form
{{{y+2=(5/4)x-5}}}
{{{y=(5/4)x-5-2}}}
{{{y=(5/4)x-7}}}-------slope-intercept form