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6) Write an equation parallel to y = − x − 12 that passes through ( − 3 , − 4 ).

User Smee
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Answer: y=-x-7

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

User Dustin Whittle
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