SOLUTION: what is the linear equation of coordinates (1,44000) (2,46000)

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Question 607820: what is the linear equation of coordinates (1,44000) (2,46000)
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=1 and y%5B1%5D=44000.
Also, is the second point . So this means that x%5B2%5D=2 and y%5B2%5D=46000.


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


m=%2846000-44000%29%2F%282-1%29 Plug in y%5B2%5D=46000, y%5B1%5D=44000, x%5B2%5D=2, and x%5B1%5D=1


m=%282000%29%2F%282-1%29 Subtract 44000 from 46000 to get 2000


m=%282000%29%2F%281%29 Subtract 1 from 2 to get 1


m=2000 Reduce


So the slope of the line that goes through the points and is m=2000


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-44000=2000%28x-1%29 Plug in m=2000, x%5B1%5D=1, and y%5B1%5D=44000


y-44000=2000x%2B2000%28-1%29 Distribute


y-44000=2000x-2000 Multiply


y=2000x-2000%2B44000 Add 44000 to both sides.


y=2000x%2B42000 Combine like terms.


So the equation that goes through the points and is y=2000x%2B42000

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