SOLUTION: Find the slope of the line passing through the pair of points or state that the slope is undefined. (4,2) and (7,8) (-7,-9) and (3,-2) (6,3) and (6,-4) (7,-4) and (-9,-

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line passing through the pair of points or state that the slope is undefined. (4,2) and (7,8) (-7,-9) and (3,-2) (6,3) and (6,-4) (7,-4) and (-9,-      Log On


   



Question 128493: Find the slope of the line passing through the pair of points or state that the slope is undefined.
(4,2) and (7,8)
(-7,-9) and (3,-2)
(6,3) and (6,-4)
(7,-4) and (-9,-4)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started


# 1




Let's denote the first point (4,2) as . In other words, and

Now let's denote the second point (7,8) 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=%288-2%29%2F%287-4%29 Plug in y%5B2%5D=8,y%5B1%5D=2,x%5B2%5D=7,x%5B1%5D=4


m=6%2F3 Subtract the terms in the numerator 8-2 to get 6. Subtract the terms in the denominator 7-4 to get 3

m=2 Reduce


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Answer:

So the slope of the line through the points (4,2) and (7,8) is m=2









# 2




Let's denote the first point (-7,-9) as . In other words, and

Now let's denote the second point (3,-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=%28-2--9%29%2F%283--7%29 Plug in y%5B2%5D=-2,y%5B1%5D=-9,x%5B2%5D=3,x%5B1%5D=-7


m=7%2F10 Subtract the terms in the numerator -2--9 to get 7. Subtract the terms in the denominator 3--7 to get 10

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Answer:

So the slope of the line through the points (-7,-9) and (3,-2) is m=7%2F10