Question

What is the equation of the line that passes through (0, 2) and has a slope of 0?

Answer 1

The slope-point formula:

$y-y_1=m(x-x_1)$

We have (0, 2) and m = 0.

Substitute:

$y-2=0(x-0)\\\\y-2=0\qquad|+2\\\\y=2$

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If a line has a slope of 0, then it's a horizontal line y = a.