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Write the equation parallel to y=−1/4x (meaning with a slope of −1/4) but passing through the point (−12,1).

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Answer: y=1/4x+4

Explanation:

Parallel means the new equation will have the same slope.

y= 1/4x+b

We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.

1= 1/4(-12)+b

1= -3+b

b= 4

y=1/4x+4

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