Question

How do you find an equation of a line containing the point (-2, 2), with slope 0?

Answer 1

`y = 2`

Explanation:

You can solve this using simple common sense. If there is `0` slope, then the graph is just a flat, horizontal line at some constant `y` value, which doesn't change. Given the point `(-2,2)` is on that line, we can deduce that the equation is `y = 2`.

You could also use the normal line equation, substituting any values we know and solving from there

`y = mx + c`
`y = 0x + c`

And, because we know that when `x = -2`, `y = 2`, we can substitute those values for

`2 = 0(-2) + c`
`2 = c`

Therefore, if

`y = 0x + 2`

then

`y = 2`,

because `0x` doesn't matter - it is always `0`.