Question

How do you find the x intercept for `y=2`?

Answer 1

Actually, `y=2` doesn't have an `x`-intercept. This is because the line `y=2` is a horizontal line that is parallel to the horizontal `x`-axis, and parallel lines never intersect. Also, the line `y=2` doesn't depend on any `x`. No matter what `x` is, no matter how infinitely large or small, `y` will always be `2` above the `x`-axis.

To see this visually, this is what the graph of `y=2` looks like:

You can see that the line doesn't ever touch the `x`-axis, meaning it doesn't have an `x`-intercept. It has a `y` intercept though, at the point (0,2).