SOLUTION: find the slope, if possible, of the line passing through each pair of points. (2, -1) AND (6, 3)

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Question 487217: find the slope, if possible, of the line passing through each pair of points. (2, -1) AND (6, 3)
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=-1.
Also, is the second point . So this means that x%5B2%5D=6 and y%5B2%5D=3.


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


m=%283--1%29%2F%286-2%29 Plug in y%5B2%5D=3, y%5B1%5D=-1, x%5B2%5D=6, and x%5B1%5D=2


m=%284%29%2F%286-2%29 Subtract -1 from 3 to get 4


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


m=1 Reduce


So the slope of the line that goes through the points and is m=1