# Do all lines have an x and y intercept?

Apr 12, 2018

the answer is yes. see more below

#### Explanation:

the answer is yes because on a graph, even if it has a x intercept, it will eventually intercept the y intercept b/c the line will continue infinitely

Apr 12, 2018

No.

#### Explanation:

Not all lines have an x- and y-intercept. This question can be rephrased as, "Do all lines cross the x- and y-axis?"

Consider the horizontal line $y = 2$. graph{y = 2 + 0x [-10, 10, -5, 5]}

This line does not cross the x-axis. Similarly, the line $x = 2$ is a vertical line which does not cross the y-axis.
graph{x = 2 + .00001y [-10, 10, -5, 5]}

It is true that a line will cross at least the x- or y-axis. A line cannot avoid both.