# If a line has no y-intercept, what can you say about the line? What if a line has no x-intercept? Think of a real-life situation where a graph would have no x- or y-intercept. Will what you say...

If a line has no *y*-intercept, what can you say about the line? What if a line has no *x*-intercept?

Think of a real-life situation where a graph would have no *x*- or *y*-intercept. Will what you say about the line always be true in that situation?

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### 2 Answers

If a line has no y-intercept, that means it never intersects the y-axis, so it must be parallel to the y-axis. This means it is a vertical line, such as `x=3` . This slope of this line is undefined.

If the line has no x-intercept, then it never intersects the x-axis, so it must be parallel to the x-axis. This means it is a horizontal line, such as `y=-5` . This slope of this line is zero.

A real-life situation of a line that has no y-intercept is the equation of a vertical wall. This is a line such as x=5.

A real-life situation of a line that has no x-intercept is the equation of a floor, such as the line y=10.

**Lines that have no y-intercept are vertical lines that are parallel to the y-axis, such as the line x=10. Lines that have no x-intercept are horizontal lines that are parallel to the x-axis, such as the line y=2.**

If a line has no y-intercept, that means it never cuts y-axis and that is only possible when the line is parallel to y-axis.

If the line has no x-intercept then the line is parallel to x-axis.

If a line does not have x or y intercept, that will mean that it is not possible in a 2 dimensional graph paper, we will need 3 dimensions. because if a line does not have x or y intercep then it must be parallel to both x & y axes, and so it must be parallel to the x-y plane and hence perpendicular to z-axis.