SOLUTION: describe how to find the slope of teh graph of linear function f given that f(1)=2 and f(3) = -1

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Question 236563: describe how to find the slope of teh graph of linear function f given that f(1)=2 and f(3) = -1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since f(1)=2 and f(3) = -1, this means that the line goes through the points (1,2) and (3,-1)


Note: is the first point . So this means that x%5B1%5D=1 and y%5B1%5D=2.
Also, is the second point . So this means that x%5B2%5D=3 and y%5B2%5D=-1.


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


m=%28-1-2%29%2F%283-1%29 Plug in y%5B2%5D=-1, y%5B1%5D=2, x%5B2%5D=3, and x%5B1%5D=1


m=%28-3%29%2F%283-1%29 Subtract 2 from -1 to get -3


m=%28-3%29%2F%282%29 Subtract 1 from 3 to get 2


So the slope of the line that goes through the points and is m=-3%2F2