Question 1151561
Parallel to 5x-7y=9 means the slope will be the same, so the left member will be unchanged.  The right member will be different in order for the line you want to pass through point  (-4,3).


{{{5x-7y=5(-4)-7(-3)}}}
{{{5x-7y=-20+21}}}
{{{5x-7y=1}}}
Now solve for y.
{{{-7y=-5x+1}}}
{{{highlight(y=5x/7-1/7)}}}