SOLUTION: Determine whether the lines through each pair of points are parallel. (2, -2) and (-8, 10) (-7, 1) and (-2, 5)

Algebra ->  Linear-equations -> SOLUTION: Determine whether the lines through each pair of points are parallel. (2, -2) and (-8, 10) (-7, 1) and (-2, 5)      Log On


   



Question 29304: Determine whether the lines through each pair of points are parallel.
(2, -2) and (-8, 10)
(-7, 1) and (-2, 5)

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
All you need to do here is show that the slopes of the two lines are equal (parallel) or not equal (not parallel).
m+=+%28y2-y1%29%2F%28x2-x1%29
1st slope:
m+=+%2810-%28-2%29%29%2F%28%28-8%29-2%29
m+=+12%2F-10
m+=+-6%2F5
2nd slope:
m+=+%285-1%29%2F%28-2-%28-7%29%29
m+=+4%2F5
The slopes are not equal, therefore the lines are not parallel.