SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 through (9, 2) and (3, –8) L2 through (–3, 5) and (5, –1)

Algebra ->  Systems-of-equations -> SOLUTION: Are the following lines parallel, perpendicular, or neither? L1 through (9, 2) and (3, –8) L2 through (–3, 5) and (5, –1)       Log On


   

Question 112037: Are the following lines parallel, perpendicular, or neither?
L1 through (9, 2) and (3, –8)
L2 through (–3, 5) and (5, –1)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First find the slope through (9, 2) and (3, –8)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (9, 2) and (3, -8)



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


m+=+%28-8+-+2%29%2F%283+-+9%29


m+=+%28-10%29%2F%28-6%29


m+=+5%2F3



Answer: Slope is m+=+5%2F3




Now find the slope through (–3, 5) and (5, –1)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (-3, 5) and (5, -1)



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


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


m+=+%28-1+-+5%29%2F%285+-+%28-3%29%29


m+=+%28-1+-+5%29%2F%285+%2B+3%29


m+=+%28-6%29%2F%288%29


m+=+-3%2F4



Answer: Slope is m+=+-3%2F4




Since the slopes are not equal and are not negative reciprocals of one another, they are neither parallel nor perpendicular.