SOLUTION: find the equation of the line (in the slope-intercept form)that goes through the points (8,3) and (5,-7)

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Question 512031: find the equation of the line (in the slope-intercept form)that goes through the points (8,3) and (5,-7)
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


Distribute


Multiply


Add 3 to both sides.


Combine like terms.


So the answer is

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