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

1 Answer
Jan 8, 2015

Actually, y=2y=2 doesn't have an xx-intercept. This is because the line y=2y=2 is a horizontal line that is parallel to the horizontal xx-axis, and parallel lines never intersect. Also, the line y=2y=2 doesn't depend on any xx. No matter what xx is, no matter how infinitely large or small, yy will always be 22 above the xx-axis.

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

enter image source here

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