Question

What is the y intercept for the `y=2` graph?

Answer 1

An intercept is the point of intersection. A `y`-intercept is the point that a line (in this case, the line `y=2`) intersects the `y`-axis.

The `y`-intercept for the `y=2` graph is simply the point `(0,2)`.

Typically, to find a `y`-intercept, we would set `x` equal to zero and solve for `y`...But here, we don't have an `x`-term. The given line is `y=2` , which tells us that for any `x`, no matter how infinitely large or small, `y` will always be 2. So, intuitively, we know that when `x` is zero, `y` is 2...giving us the `y`-intercept of `(0,2)`. Note that since this is a horizontal line, there is no `x`-intercept.