Question

If the slope of a line is undefined, does the line rise (from left to right), fall (from left to right), horizontal or vertical?

Answer 1

Vertical. Please consult the explanation for more details.

Solution:

• If the line's slope is undefined, then the line is vertical.
• Lines with an undefined slope have a run of zero.
• Remember one of the formulae for slope: Rise/Run.
• If the run is zero, the slope is undefined.
• You should be cognisant of the fact that division by zero is undefined. If not, please do not worry.
• Let me explain what the run is. The run is the amount of units we move left or right, or "run".
• The rise is the quantity of units we move up and down, or "rise".

Hope it helps.

Do comment if you have any query.

Answer 2

Vertical.

Explanation:

Slope judges the vertical angle in which the line is moving, from point to point. If the line is vertical in it of itself, there will be no specific point in which you can use to define the slope. The denominator of run is always 0, and having a 0 for denominator will result in the fraction being undefined. You cannot have parts of nothing, mathematically.