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Please help and show steps am failing class

Please help and show steps am failing class-example-1

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answer:

D. y = 3x + 9

perpendicular means negative reciprocal of the number next to x

so if its 5x perpendicular would be -1/5x

make the equation look like y = ...

2x + 6y = 6

6y = -2x + 6

y = (-2x + 6)/6

y = -2x/6 + 6/6

y = -1/3x + 1

perpendicular line would be a negative reciprocal so

-1/3x would have a perpendicular that would be 3x

D. is the only one that has 3x

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