SOLUTION: Find equation of line passing through the two given points: (3, 4) and (5, 8)

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Question 660487: Find equation of line passing through the two given points: (3, 4) and (5, 8)
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=3 and y%5B1%5D=4.
Also, is the second point . So this means that x%5B2%5D=5 and y%5B2%5D=8.


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


m=%288-4%29%2F%285-3%29 Plug in y%5B2%5D=8, y%5B1%5D=4, x%5B2%5D=5, and x%5B1%5D=3


m=%284%29%2F%285-3%29 Subtract 4 from 8 to get 4


m=%284%29%2F%282%29 Subtract 3 from 5 to get 2


m=2 Reduce


So the slope of the line that goes through the points and is m=2


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-4=2%28x-3%29 Plug in m=2, x%5B1%5D=3, and y%5B1%5D=4


y-4=2x%2B2%28-3%29 Distribute


y-4=2x-6 Multiply


y=2x-6%2B4 Add 4 to both sides.


y=2x-2 Combine like terms.


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

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