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  • 07-09-2020
  • Mathematics
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6) Write an equation parallel to y = − x − 12 that passes through ( − 3 , − 4 ).

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MathTutors
MathTutors MathTutors
  • 07-09-2020

Answer: y=-x-7

Step-by-step explanation:

We know that parallel lines never touch and cross each other. This means that the slope for both lines MUST be the same.

y=-x+b

Now, all we have to do is to plug in the given point and solve for b, where the y-intercept will be different.

-4=-(-3)+b           [multiply]

-4=3+b                [subtract both sides by 3]

b=-7

With the y-intercept, we can find our equation.

y=-x-7

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