Question 314553
First, calculate the slopes.
{{{m=(y2-y1)/(x2-x1)}}}
{{{m1=(1-(-2))/(-4-2)=3/(-6)=-(1/2)}}}
{{{m2=(4-2)/(-3-1)=2/-4=-(1/2)}}}
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Parallel lines have identical slopes.
The two lines are parallel.
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{{{ drawing( 300, 300, -5, 5, -5, 5, grid(1),
circle(2,-2,.2),
circle(-4,1,.2),
circle(1,2,.2),
circle(-3,4,.2),
blue(line(2,-2,-4,1)),
green(line(1,2,-3,4)),
graph( 300, 300, -5, 5, -5, 5, 0)) }}}