SOLUTION: What is the slope of the line that contains the points (2,13) and (6,33)?

Algebra ->  Linear-equations -> SOLUTION: What is the slope of the line that contains the points (2,13) and (6,33)?      Log On


   

Question 542112: What is the slope of the line that contains the points (2,13) and (6,33)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Note: is the first point . So this means that x%5B1%5D=2 and y%5B1%5D=13.
Also, is the second point . So this means that x%5B2%5D=6 and y%5B2%5D=33.


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


m=%2833-13%29%2F%286-2%29 Plug in y%5B2%5D=33, y%5B1%5D=13, x%5B2%5D=6, and x%5B1%5D=2


m=%2820%29%2F%286-2%29 Subtract 13 from 33 to get 20


m=%2820%29%2F%284%29 Subtract 2 from 6 to get 4


m=5 Reduce


So the slope of the line that goes through the points and is m=5


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