Question 29304
All you need to do here is show that the slopes of the two lines are equal (parallel) or not equal (not parallel).

{{{m = (y2-y1)/(x2-x1)}}}

1st slope:
{{{m = (10-(-2))/((-8)-2)}}}
{{{m = 12/-10}}}
{{{m = -6/5}}}

2nd slope:
{{{m = (5-1)/(-2-(-7))}}}
{{{m = 4/5}}}

The slopes are not equal, therefore the lines are not parallel.