Question 173853
Parallel lines have identical slopes.
The slope of your new line is identical to the old line,
{{{m=7}}}
Use the point-slope form of the line,
{{{y-y[p]=m(x-x[p])}}}
where {{{x[p]=8}}} and {{{y[p]=7}}},
{{{y-7=7(x-8)}}}
{{{y-7=7x-56}}}
{{{highlight(y=7x-49)}}}
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Here are both lines graphed, along with point (8,7), as visual proof of the solution.
{{{drawing( 300, 300, -5, 10, -5, 10,grid( 1 ),circle( 8, 7, .2 ), graph( 300, 300, -5, 10, -5, 10, 7x-49, 7x-3) )}}}