Question 1114971
{{{-6x-3y=-4}}}
{{{-3y=6x-4}}}
{{{y=-2x+4/3}}}
-
for parallel, slope stays the same.
{{{y=-2x+b}}}
{{{b=2x+y}}}
point wanted,  (-3,2)
{{{b=2(-3)+2}}}
{{{b=-4}}}
-
{{{highlight(y=-2x-4)}}}




----------read original equation incorrectly-----------
{{{6x-3y=4}}}
{{{3y=-6x+4}}}
{{{y=-2x+4/3}}}



PARALLEL, use same slope.


Your y-intercept found later, if you want.
{{{y=-2x+b}}}
{{{b=y+2x}}}
{{{b=2+2(-3)}}}
{{{b=2-6}}}
{{{b=-4}}}
-
{{{cross(y=2x-4)}}}