SOLUTION: Find the slope, if it exists, of the line containing the pair of points. (2,5) and (3,-1).

Algebra ->  Equations -> SOLUTION: Find the slope, if it exists, of the line containing the pair of points. (2,5) and (3,-1).      Log On


   

Question 397098: Find the slope, if it exists, of the line containing the pair of points. (2,5) and (3,-1).
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=5.
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=%28-1-5%29%2F%283-2%29 Plug in y%5B2%5D=-1, y%5B1%5D=5, x%5B2%5D=3, and x%5B1%5D=2


m=%28-6%29%2F%283-2%29 Subtract 5 from -1 to get -6


m=%28-6%29%2F%281%29 Subtract 2 from 3 to get 1


m=-6 Reduce


So the slope of the line that goes through the points and is m=-6


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