that passes through the point (−2, 2) and is parallel to the line

3x − 6y − 12 = 0

6y=3x-12

y=1/2 x-2

The line parallel to the line above should have the same slope as the line.

So the line we are looking for has a slope of 1/2

Assuming the line equation is y=1/2x+b

Input (-2,2) into the equation

2=1/2*(-2)+b=-1+b

b=3

So the equation of the line is y=1/2 x+3

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