SOLUTION: (-4,1)and(2,-3)=

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Question 578759: (-4,1)and(2,-3)=
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
If you want to find the equation of the line that goes through those points, then...



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=-4 and y%5B1%5D=1.
Also, is the second point . So this means that x%5B2%5D=2 and y%5B2%5D=-3.


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


m=%28-3-1%29%2F%282--4%29 Plug in y%5B2%5D=-3, y%5B1%5D=1, x%5B2%5D=2, and x%5B1%5D=-4


m=%28-4%29%2F%282--4%29 Subtract 1 from -3 to get -4


m=%28-4%29%2F%286%29 Subtract -4 from 2 to get 6


m=-2%2F3 Reduce


So the slope of the line that goes through the points and is m=-2%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-1=%28-2%2F3%29%28x--4%29 Plug in m=-2%2F3, x%5B1%5D=-4, and y%5B1%5D=1


y-1=%28-2%2F3%29%28x%2B4%29 Rewrite x--4 as x%2B4


y-1=%28-2%2F3%29x%2B%28-2%2F3%29%284%29 Distribute


y-1=%28-2%2F3%29x-8%2F3 Multiply


y=%28-2%2F3%29x-8%2F3%2B1 Add 1 to both sides.


y=%28-2%2F3%29x-5%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=%28-2%2F3%29x-5%2F3