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)

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Question 417350: 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 mananth(16946) About Me  (Show Source):
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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)
The slope of line passing through (x1,y1),(x2,y2) = (y2-y1)/(x2-x1)
P1(1,-2) and P2(4,-3)
m= (-3-(-2))/(4-1)
m=-1/3
...
line through Q1(4,3) and Q2(7,4)
m=(4-3)/(7-4)
m=1/3
The slopes are different so they are not parallel