SOLUTION: Determine whether the line through p1 (1,-2) and p2(4,-3) is parallel to the line through q1 (4,3) and q2 (7,4)

Algebra ->  Linear-equations -> SOLUTION: Determine whether the line through p1 (1,-2) and p2(4,-3) is parallel to the line through q1 (4,3) and q2 (7,4)      Log On


   

Question 110730: Determine whether the line through p1 (1,-2) and p2(4,-3) is parallel to the line through q1 (4,3) and q2 (7,4)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope through p1 (1,-2) and p2(4,-3)

Solved by pluggable solver: Finding the slope


Slope of the line through the points (1, -2) and (4, -3)



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


m+=+%28-3+-+%28-2%29%29%2F%284+-+1%29


m+=+%28-3+%2B+2%29%2F%284+-+1%29


m+=+%28-1%29%2F%283%29


Answer: Slope is m+=+-1%2F3





Now find the slope through q1 (4,3) and q2 (7,4)

Solved by pluggable solver: Finding the slope


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



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


m+=+%284+-+3%29%2F%287+-+4%29


m+=+%281%29%2F%283%29


Answer: Slope is m+=+1%2F3




Since the slopes are not equal, the slopes are not parallel.