SOLUTION: line that passes through the points (7,-1) and (6,5).

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Question 627679: line that passes through the points (7,-1) and (6,5).
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First let's find the slope of the line through the points and


Note: is the first point . So this means that x%5B1%5D=7 and y%5B1%5D=-1.
Also, is the second point . So this means that x%5B2%5D=6 and y%5B2%5D=5.


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


m=%285--1%29%2F%286-7%29 Plug in y%5B2%5D=5, y%5B1%5D=-1, x%5B2%5D=6, and x%5B1%5D=7


m=%286%29%2F%286-7%29 Subtract -1 from 5 to get 6


m=%286%29%2F%28-1%29 Subtract 7 from 6 to get -1


m=-6 Reduce


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


Now let's use the point slope formula:


y-y%5B1%5D=m%28x-x%5B1%5D%29 Start with the point slope formula


y--1=-6%28x-7%29 Plug in m=-6, x%5B1%5D=7, and y%5B1%5D=-1


y%2B1=-6%28x-7%29 Rewrite y--1 as y%2B1


y%2B1=-6x%2B-6%28-7%29 Distribute


y%2B1=-6x%2B42 Multiply


y=-6x%2B42-1 Subtract 1 from both sides.


y=-6x%2B41 Combine like terms.


So the equation that goes through the points and is y=-6x%2B41

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