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The answer is

y = 6x + 43

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = 6x + 1

Comparing with the general equation above

Slope = 6

Since the lines are parallel their slope are also the same

Slope of parallel line = 6

The equation of the line using point (-7,1) and slope 6 is

We have the final answer as

y = 6x + 43

Step-by-step explanation:

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step-by-step explanation: