Write the equation of the line that passes through the point (-6, 12) and is parallel to the line y = 8. a.) y = -6 b.) y = 12 c.) y = 6x + 8 d.) y = 6x - 8

The line y = 8 does not have a slope, so that means the equation of this line will also have no slope.

Now let's plug in (-6, 12) into the equation of a line, y = mx + b.

Plugging (-6, 12) into the equation, you get: 12 = 0(-6) + b

You substitute 0 for the slope (m) because the line doesn't have a slope.

Now solve for b. 12 = 0(-6) + b

12 = 0 + b, which is the same as b = 12.

Now plug in 12 for b and 0 for m into the equation of a line, y = mx + b.

y = (0)x + 12y = 0 + 12y = 12

Your answer is:

B.) y = 12

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