Question 312682
Put the line in slope-intercept form, {{{y=mx+b}}}
{{{ 4x=5y+3}}}
{{{5y=4x-3}}}
{{{y=(4/5)x-3/5}}}
Parallel lines have identical slopes.
The slope for the given line is {{{m=4/5}}}
Use the point-slope form of a line with the point (-8,5),
{{{y-yp=m(x-xp)}}}
{{{y-5=(4/5)(x-(-8))}}}
{{{y-5=(4/5)x+32/5}}}
{{{y=(4/5)x+32/5+25/5}}}
{{{y=(4/5)x+57/5}}}
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{{{ drawing( 300, 300, -10, 10, -5, 15, grid(1),circle(-8,5,.35), graph( 300, 300, -10, 10, -5, 15, (4/5)x-3/5,(4/5)x+57/5))}}}
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or in standard form,
{{{5y=4x+57}}}
{{{-4x+5y=57}}}