SOLUTION: Find the slope of the line that passes through the points (2, 3) and (5, 8).

Algebra ->  Linear-equations -> SOLUTION: Find the slope of the line that passes through the points (2, 3) and (5, 8).       Log On


   



Question 133142: Find the slope of the line that passes through the points (2, 3) and (5, 8).

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

Let's denote the first point (2,3) as . In other words, and

Now let's denote the second point (5,8) 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=%288-3%29%2F%285-2%29 Plug in y%5B2%5D=8,y%5B1%5D=3,x%5B2%5D=5,x%5B1%5D=2


m=5%2F3 Subtract the terms in the numerator 8-3 to get 5. Subtract the terms in the denominator 5-2 to get 3

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Answer:

So the slope of the line through the points (2,3) and (5,8) is m=5%2F3