SOLUTION: Line 1 is through (9,2) and (3,-8) and Line 2 is through (-3,5) and (5,-1) Are they perpendicular parallel or neither. Thanks in advance.

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Line 1 is through (9,2) and (3,-8) and Line 2 is through (-3,5) and (5,-1) Are they perpendicular parallel or neither. Thanks in advance.      Log On


   

Question 91350: Line 1 is through (9,2) and (3,-8) and Line 2 is through (-3,5) and (5,-1)
Are they perpendicular parallel or neither. Thanks in advance.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
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





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 these two slopes are not equal, they are not parallel. Now multiply the two slopes

%285%2F3%29%28-3%2F4%29=-15%2F12=-5%2F4

Since this product doesn't equal -1, the two slopes are not perpendicular.