Do all lines have an x and y intercept?

Slovenujozk
2022-09-14
Answered

Do all lines have an x and y intercept?

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Vaughn Greer

Answered 2022-09-15
Author has **15** answers

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.

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.

Malik Turner

Answered 2022-09-16
Author has **2** answers

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

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