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What is an equation of a line parallel to y = 3x + 2, passing through (-4, 1).

 Mar 18, 2020
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well we know that the equation of a line parallel to the given line must retain the same slope. As such, the slope has to be 3 as well. We can then write part of the equation of the line as 

 

y = 3x + b

 

Now we just solve for b, by plugging in the point (-4, 1) which we know the line passes through. With this point, we get 1 = -12 + b. Adding 12 on both sides, we get 13 = b.

 

We then get the equation:

 

y = 3x + 13

 Mar 18, 2020

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