SOLUTION: how would you put (7,12), (4,1) in slope-intercept form?

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Question 540214: how would you put (7,12), (4,1) in slope-intercept form?
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=12.
Also, is the second point . So this means that x%5B2%5D=4 and y%5B2%5D=1.


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


m=%281-12%29%2F%284-7%29 Plug in y%5B2%5D=1, y%5B1%5D=12, x%5B2%5D=4, and x%5B1%5D=7


m=%28-11%29%2F%284-7%29 Subtract 12 from 1 to get -11


m=%28-11%29%2F%28-3%29 Subtract 7 from 4 to get -3


m=11%2F3 Reduce


So the slope of the line that goes through the points and is m=11%2F3


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-12=%2811%2F3%29%28x-7%29 Plug in m=11%2F3, x%5B1%5D=7, and y%5B1%5D=12


y-12=%2811%2F3%29x%2B%2811%2F3%29%28-7%29 Distribute


y-12=%2811%2F3%29x-77%2F3 Multiply


y=%2811%2F3%29x-77%2F3%2B12 Add 12 to both sides.


y=%2811%2F3%29x-41%2F3 Combine like terms. note: If you need help with fractions, check out this solver.


So the equation that goes through the points and is y=%2811%2F3%29x-41%2F3


If you need more help, email me at jim_thompson5910@hotmail.com

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Jim