SOLUTION: find the slope if it exists (5,4) and (7,-10)

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Question 309983: find the slope if it exists (5,4) and (7,-10)

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=5 and y%5B1%5D=4.
Also, is the second point . So this means that x%5B2%5D=7 and y%5B2%5D=-10.


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


m=%28-10-4%29%2F%287-5%29 Plug in y%5B2%5D=-10, y%5B1%5D=4, x%5B2%5D=7, and x%5B1%5D=5


m=%28-14%29%2F%287-5%29 Subtract 4 from -10 to get -14


m=%28-14%29%2F%282%29 Subtract 5 from 7 to get 2


m=-7 Reduce


So the slope of the line that goes through the points and is m=-7