SOLUTION: Two points on line A are (–8,–7) and (6,19). Two points on line B are (16,6) and (23,19). Determine the slope of each of these lines, and then state whether the lines are parall

Algebra ->  Linear-equations -> SOLUTION: Two points on line A are (–8,–7) and (6,19). Two points on line B are (16,6) and (23,19). Determine the slope of each of these lines, and then state whether the lines are parall      Log On


   

Question 995304: Two points on line A are (–8,–7) and (6,19). Two points on line B are (16,6) and (23,19).
Determine the slope of each of these lines, and then state whether the lines are parallel, perpendicular, or neither. Write your answers with two decimal places
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if two points on line A are
(-8,-7) and (6,19), then a slope is:
Solved by pluggable solver: Finding the slope


Slope of the line through the points (-8, -7) and (6, 19)



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


m+=+%2819+-+%28-7%29%29%2F%286+-+%28-8%29%29


m+=+%2819+%2B+7%29%2F%286+%2B+8%29


m+=+%2826%29%2F%2814%29


m+=+13%2F7



Answer: Slope is m+=+13%2F7



if two points on line B are (16,6) and (23,19), then a slope is:
Solved by pluggable solver: Finding the slope


Slope of the line through the points (16, 6) and (23, 19)



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


m+=+%2819+-+6%29%2F%2823+-+16%29


m+=+%2813%29%2F%287%29


Answer: Slope is m+=+13%2F7




since slopes are both same, 13%2F7=>1.857142857142857=>1.86, lines A and B are parallel

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Two points on line A are (–8,–7) and (6,19). Two points on line B are (16,6) and (23,19).
Determine the slope of each of these lines, and then state whether the lines are parallel, perpendicular, or neither. Write your answers with two decimal places
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slope of line A:: (19--7)(6--8) = 26/14 = 13/7
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slope of line B:: (19-6)/(23-16) = 13/7
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Slopes are the same:: line are parallel
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Cheers,
Stan H.
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