SOLUTION: Are the following lines parellel, perpendicular, or neither? L1 through (-4, -7) and (1, 3) L2 through (2, 6) and (4, 10)

Algebra ->  Linear-equations -> SOLUTION: Are the following lines parellel, perpendicular, or neither? L1 through (-4, -7) and (1, 3) L2 through (2, 6) and (4, 10)      Log On


   

Question 90515: Are the following lines parellel, perpendicular, or neither?
L1 through (-4, -7) and (1, 3)
L2 through (2, 6) and (4, 10)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of the line through (-4, -7) and (1, 3)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (-4, -7) and (1, 3)



m+=+%28y%5B2%5D+-+%28y%5B1%5D%29%29%2F%28x%5B2%5D+-+%28x%5B1%5D%29%29


m+=+%283+-+%28-7%29%29%2F%281+-+%28-4%29%29


m+=+%283+%2B+7%29%2F%281+%2B+4%29


m+=+%2810%29%2F%285%29


m+=+2



Answer: Slope is m+=+2




Now find the slope of the line through (2, 6) and (4, 10)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (2, 6) and (4, 10)



m+=+%28y%5B2%5D+-+y%5B1%5D%29%2F%28x%5B2%5D+-+x%5B1%5D%29


m+=+%2810+-+6%29%2F%284+-+2%29


m+=+%284%29%2F%282%29


m+=+2



Answer: Slope is m+=+2




Since the two slopes are equal, this means they are parallel