Question 1109538
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Through ​(minus−8​,12​); parallel to 3 x plus 2 y equals 17
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You can start with point-slope form.

Given equation is  {{{3x+2y=17}}}; so slope of this is  {{{-3/2}}}.


You want, first, the equation  {{{y-12=-(3/2)(x-(-8))}}}
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{{{y-12=-3x/2-(3*8)/2}}}
{{{y-12=-3x/2-12}}}
{{{y=-3x/2}}}
{{{3x/2+y=0}}}
{{{highlight(3x+2y=0)}}}