Answer:
y = 2x +12
Explanation:
You want the line through point (-3, 6) that is parallel to y = 2x -7.
Parallel line
The given line equation is in slope-intercept form ...
y = mx + b . . . . . line with slope m and y-intercept b
This allows us to see that its slope is 2.
The parallel line will have the same slope. All we need to do is find its y-intercept.
Intercept
Solving the above equation for 'b', we get ...
b = y - mx
Using (x, y) = (-3, 6) and m = 2, we find 'b' to be ...
b = 6 -(2)(-3) = 12
Equation
Using the values for m and b that we now know, the desired equation is ...
y = 2x +12
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