Question 103308
The line {{{y=-7x+7}}} has a slope of -7.

Then, the line parallel to it must have a slope of -7, too.

{{{y=mx+b}}}
It passes through (5,-3) so,

{{{-3=-7*5+b}}}
{{{b=32}}}
Thus,
{{{y=-7x+32}}}----This is the equation of the line parallel to {{{y=-7x+7}}}