SOLUTION: 2. Find the slope of the line through the following pairs of points. (4, 9) and (8, 17)

Algebra ->  Graphs -> SOLUTION: 2. Find the slope of the line through the following pairs of points. (4, 9) and (8, 17)       Log On


   



Question 125737: 2. Find the slope of the line through the following pairs of points.

(4, 9) and (8, 17)

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Let's denote the first point (4,9) as . In other words, and

Now let's denote the second point (8,17) 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=%2817-9%29%2F%288-4%29 Plug in y%5B2%5D=17,y%5B1%5D=9,x%5B2%5D=8,x%5B1%5D=4


m=8%2F4 Subtract the terms in the numerator 17-9 to get 8. Subtract the terms in the denominator 8-4 to get 4

m=2 Reduce


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Answer:

So the slope of the line through the points (4,9) and (8,17) is m=2