SOLUTION: Write a slope-intercept equation for a line with the given circumstances. Passes through (-3,7) and (-1,-5)

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Question 268904: Write a slope-intercept equation for a line with the given circumstances.
Passes through (-3,7) and (-1,-5)

Answer by jim_thompson5910(35256)   (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 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 7 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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