SOLUTION: write the equation in slope intercept form. (-1,2) (1,-4), and (0,0) (-3,-2)

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Question 585857: write the equation in slope intercept form. (-1,2) (1,-4), and (0,0) (-3,-2)
Found 2 solutions by jim_thompson5910, josmiceli:
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.



First let's find the slope of the line through the points and


Note: is the first point . So this means that and .
Also, is the second point . So this means that and .


Start with the slope formula.


Plug in , , , and


Subtract from to get


Subtract from to get


Reduce


So the slope of the line that goes through the points and is


Now let's use the point slope formula:


Start with the point slope formula


Plug in , , and


Rewrite as


Distribute


Multiply


Add 2 to both sides.


Combine like terms.


So the equation that goes through the points and is


Notice how the graph of goes through the points and . So this visually verifies our answer.
Graph of through the points and
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Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!






here's the plot:

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