Question

what of the following statements describes a zero slope? check all that apply. the line goes up when moving right to left. the line goes down when moving right to left. the line is horizontal. the line is vertical. the run is zero. the rise is zero.

Explanation:

Step1: Recall slope formula

The slope formula is $m = \frac{\text{rise}}{\text{run}}$. A zero - slope means $m = 0$.

Step2: Analyze each statement

• If the line goes up when moving right to left, the slope is positive.
• If the line goes down when moving right to left, the slope is negative.
• A horizontal line has a rise of 0. Using the slope formula $m=\frac{\text{rise}}{\text{run}}$, when $\text{rise} = 0$ and $\text{run}

eq0$, $m = 0$.

• A vertical line has a run of 0, and the slope is undefined ($m=\frac{\text{rise}}{0}$, division by zero is undefined).
• If the run is zero, the slope is undefined.
• If the rise is zero, and the run is non - zero, then $m=\frac{0}{\text{run}}=0$.

Answer:

The line is horizontal., The rise is zero.