posted by Jim on .
Can someone show me how to solve this? Someone tried to explain it to me-I didn't get it.A line contains the points (3, -4) and (5, 2). Another line graphed in the same coordinate plane contains the points (0, 5) and (-2, -1). Based on the slopes of these lines are they parallel, perpendicular or neither?
The slope of any line from point 1 to point 2 is (y2-y1)/(x2-x1). Therefore the slopes of the two lines you are talkng about are
(2 -(-4))/(5-3) = 6/2 = 3
(-1 -(5)/(-2-0)= -6/-2 = 3
Thelines are therefore parallel because they have the same slope.