SOLUTION: Find an equation of the line that satisfies the given conditions. Through (−1, −2) and (6, 5)

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Question 527243: Find an equation of the line that satisfies the given conditions.
Through
(−1, −2) and (6, 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


Rewrite as


Distribute


Multiply


Subtract 2 from both sides.


Combine like terms.


Simplify


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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