SOLUTION: what is the equation for (0,5) and (2,13)

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Question 555791: what is the equation for (0,5) and (2,13)
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=0 and y%5B1%5D=5.
Also, is the second point . So this means that x%5B2%5D=2 and y%5B2%5D=13.


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


m=%2813-5%29%2F%282-0%29 Plug in y%5B2%5D=13, y%5B1%5D=5, x%5B2%5D=2, and x%5B1%5D=0


m=%288%29%2F%282-0%29 Subtract 5 from 13 to get 8


m=%288%29%2F%282%29 Subtract 0 from 2 to get 2


m=4 Reduce


So the slope of the line that goes through the points and is m=4


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-5=4%28x-0%29 Plug in m=4, x%5B1%5D=0, and y%5B1%5D=5


y-5=4x%2B4%28-0%29 Distribute


y-5=4x%2B0 Multiply


y=4x%2B0%2B5 Add 5 to both sides.


y=4x%2B5 Combine like terms.


So the equation that goes through the points and is y=4x%2B5

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Jim