SOLUTION: find the eqaution (2,11) (7,26)

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Question 551121: find the eqaution (2,11) (7,26)
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=2 and y%5B1%5D=11.
Also, is the second point . So this means that x%5B2%5D=7 and y%5B2%5D=26.


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


m=%2826-11%29%2F%287-2%29 Plug in y%5B2%5D=26, y%5B1%5D=11, x%5B2%5D=7, and x%5B1%5D=2


m=%2815%29%2F%287-2%29 Subtract 11 from 26 to get 15


m=%2815%29%2F%285%29 Subtract 2 from 7 to get 5


m=3 Reduce


So the slope of the line that goes through the points and is m=3


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-11=3%28x-2%29 Plug in m=3, x%5B1%5D=2, and y%5B1%5D=11


y-11=3x%2B3%28-2%29 Distribute


y-11=3x-6 Multiply


y=3x-6%2B11 Add 11 to both sides.


y=3x%2B5 Combine like terms.


So the equation that goes through the points and is y=3x%2B5