Find the equation of the line parallel to the line whose equation is y = 6x + 7 and whose y-intercept is 8

y = -6x + 8

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y = (-1/6)x + 8

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y = (1/6)x + 8

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y = 6x + 8

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none of these

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Solution

The correct option is D y = 6x + 8
Let the equation of the line parallel to $y = 6 x + 7$ be $y = m x + c$
The lines are parallel.
Thus, $m = 6$
The y intercept is $8$
Thus, $c = 8$
Thus, the equation of the line is $y = 6 x + 8$

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