SOLUTION: Are the sets of lines parallel, perpendicular, or neither: Line 1 is through (-4,-7) and (1,3) and Line 2 is through (2,6) and (4,10) Thanks in advance

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Are the sets of lines parallel, perpendicular, or neither: Line 1 is through (-4,-7) and (1,3) and Line 2 is through (2,6) and (4,10) Thanks in advance      Log On


   

Question 91338: Are the sets of lines parallel, perpendicular, or neither:
Line 1 is through (-4,-7) and (1,3) and Line 2 is through (2,6) and (4,10)
Thanks in advance
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can see if the lines are parallel, perpendicular, or neither by examining their slopes. m+=+%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29
m%5B1%5D+=+%283-%28-7%29%29%2F%281-%28-4%29%29
m%5B1%5D+=+10%2F5
m%5B1%5D+=+2
m%5B2%5D+=+%2810-6%29%2F%284-2%29
m%5B2%5D+=+4%2F2
m%5B2%5D+=+2
The slopes of the two lines are the same, therefore, they are parallel.