SOLUTION: Determine whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2 (3,4), (4,2)

Algebra ->  Linear-equations -> SOLUTION: Determine whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2 (3,4), (4,2)      Log On


   

Question 132977: Determine whether the line that passes through the two given points is parallel or perpendicular or neither to a line with a slope of -2
(3,4), (4,2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's find the slope of the line through (3,4) and (4,2)




Let's denote the first point (3,4) as . In other words, and

Now let's denote the second point (4,2) as . In other words, and



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m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29 Start with the slope formula

m=%282-4%29%2F%284-3%29 Plug in y%5B2%5D=2,y%5B1%5D=4,x%5B2%5D=4,x%5B1%5D=3


m=-2%2F1 Subtract the terms in the numerator 2-4 to get -2. Subtract the terms in the denominator 4-3 to get 1

m=-2 Reduce


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Answer:

So the slope of the line through the points (3,4) and (4,2) is m=-2

So this line is parallel to the other line with a slope of -2