SOLUTION: Write an equation in point-slope form of the line that passes through the points (-3,-4) and (3,4).

Algebra ->  Graphs -> SOLUTION: Write an equation in point-slope form of the line that passes through the points (-3,-4) and (3,4).      Log On


   

Question 627630: Write an equation in point-slope form of the line that passes through
the points (-3,-4) and (3,4).
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=3 and y%5B2%5D=4.


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


m=%284--4%29%2F%283--3%29 Plug in y%5B2%5D=4, y%5B1%5D=-4, x%5B2%5D=3, and x%5B1%5D=-3


m=%288%29%2F%283--3%29 Subtract -4 from 4 to get 8


m=%288%29%2F%286%29 Subtract -3 from 3 to get 6


m=4%2F3 Reduce


So the slope of the line that goes through the points and is m=4%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--4=%284%2F3%29%28x--3%29 Plug in m=4%2F3, x%5B1%5D=-3, and y%5B1%5D=-4


y--4=%284%2F3%29%28x%2B3%29 Rewrite x--3 as x%2B3


y%2B4=%284%2F3%29%28x%2B3%29 Rewrite y--4 as y%2B4

So the answer is y%2B4=%284%2F3%29%28x%2B3%29

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