Question

What is the y-intercept of a vertical line whose
x-intercept is 0? And why?

Answer 1

whpalmer4

Answer 2

If it is a vertical line, it goes straight up and down. It bisects the X axis (thus the X intercept is zero.) So the Y intercept, if the line has no slope, can't touch the y axis at all if it is vertical unless it is actually on the y axis itself. If it was actually on the y axis, think of what the y intercept could be. It would touch the y axis at every single point along the Y axis! {(0,1), (0,2), (0,-1), (0,-2)} would all be equally valid y intercepts for a line touching the y axis and going straight up and down along it. Therefore, since it can't be given one, single answer, the y-intercept is undefined.

Answer 3

This shows all the possible lines (imagine they go on forever) if your line strikes the X axis and is vertical. One whose X intercept is (0,0) would actually be on the Y axis itself.

Answer 4

Thank you so much. This really helped.

Answer 5

yay you are welcome :D I am glad it made sense!