equation of a line with a slope of ZERO that passes through the point (-2, 12)

Answer 1

If it's a line with a slope of 0, it's a horizontal line. If it passes through the point (-2, 12), it must also pass through every point whose y coördinate is 12. (Draw a picture!) So the equation of this line is y = 12.

You could also get the equation of the line by using the point-slope formula:

y - y₁ = m(x - x₁)

The coördinates x₁ and y₁ are -2 and 12, and the slope m is 0, so the formula is

y - 12 = 0(x - (-2))

which simplifies to

y - 12 = 0

and simplifies further to

y = 12

Answer 2

y=12

slope =0, it's a flat line where the y value is constant