SOLUTION: What is the slope of the line that passes through the points (–2, 5) and (1, 4)?

Algebra ->  Linear-equations -> SOLUTION: What is the slope of the line that passes through the points (–2, 5) and (1, 4)?      Log On


   

Question 530135: What is the slope of the line that passes through the points (–2, 5) and (1, 4)?
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=1 and y%5B2%5D=4.


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


m=%284-5%29%2F%281--2%29 Plug in y%5B2%5D=4, y%5B1%5D=5, x%5B2%5D=1, and x%5B1%5D=-2


m=%28-1%29%2F%281--2%29 Subtract 5 from 4 to get -1


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


So the slope of the line that goes through the points and is m=-1%2F3


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