Question 68580
Remember the rule?
"Perpendicular lines have slopes that are the negative reciprocal of each other."
"Parallel lines have identical slopes"
So first, we need to find the slopes of the lines through the given points.
Using the slope formula: {{{m = (y2-y1)/(x2-x1)}}}
For the first slope, (x1, y1) = (-4, -7) and (x2, y2) = (1, 3)
{{{m1 = (3-(-7))/(1-(-4))}}} Simplify.
{{{m1 = (3+7)/(1+4)}}}
{{{m1 = 10/5}}}
{{{m1 = 2}}}
Similarly for the second slope, m2.
{{{m2 = (10-6)/(4-2)}}} Simplify.
{{{m2 = 4/2}}}
{{{m2 = 2}}}
Well, as you can see, the slopes of the two lines are identical which means that the lins are parallel.
You might want to review your work on this problem!