The question is:

What is the slope of a line that is parallel to a vertical line?

Would it be a slope of 0?

Thanks!

VERTICAL LINE: No slope (or "undefined" slope)

HORIZONTAL LINE: Slope=0

(by the way, a vertical line is "undefined" because the formula used to find the slope, (y2-y1)/(x2-x1), has a denominator of 0 when the line is straight up and down, and you can NEVER divide by 0)

Your answer is correct.

Sorry, I was thinking PERPENDICULAR to a vertical line, so the answer would NOT be 0 (a horizontal line), it would be undefined (another vertical line alongside the original vertical line).

I must have mixed the two up. Thank you!

To find the slope of a line that is parallel to a vertical line, you need to understand that vertical lines have an undefined slope. This means that they do not have a defined value for their slope.

A line with a slope of 0 would actually be a horizontal line, not a vertical line. Horizontal lines have a slope of 0 because they do not rise or fall as they extend in either direction.

In contrast, vertical lines have an undefined slope because they are perfectly vertical and do not have any horizontal change. This means that the vertical line does not have a numerical value for its slope.

Therefore, if you want to find the slope of a line that is parallel to a vertical line, the slope would also be undefined, as parallel lines have the same slope.