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A line contains the points (3,1) and (−6,4). What is the equation for this line in slop-intercept form?

 Jul 30, 2020
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The slope in going to be (4-1)/(-6-3)=-(3/9)=-1/3

 

We have an equation of y=-1/3x+b

 

Now, we substitute one of the points, we can choose the easier one, which is (3, 1). We now have an equation of 1=-1/3(3)+b. b=2

 

So the final equation is y=-1/3x+2

 

Correct me if I'm wrong smiley

 Jul 30, 2020

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