Question 1086687
Adjusting problem description to this:
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Equation of the line passing through point (−7,8) and parallel to the line whose equation is 7x−2y−5=0
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Given line has slope  {{{7/2}}}, so any line in the plane parallel to this line also has slope {{{7/2}}}.  The coefficients on the x and y for line you want would be unchanged.


{{{7x-2y-c=0}}}
{{{7x-2y=c}}}
{{{7*(-7)-2(8)=c}}}
{{{-49-16=c}}}
{{{c=-65}}}


{{{highlight(7x-2y+65=0)}}}