Question

what does it mean to the rise over run when the slope is an integer?
a. the rise number is one\t\t\t\tc. the run part of the slope is going to be one
b. the run number is always negative\t\td. there will be no slope

please select the best answer from the choices provided

a
b
c
d

Explanation:

The slope is defined as $\frac{\text{rise}}{\text{run}}$. When the slope is an integer (e.g., $2$, $-3$), we can express it as a fraction with a denominator of $1$ (e.g., $\frac{2}{1}$, $\frac{-3}{1}$). So the run part (denominator) is $1$.

• Option A: The rise isn't necessarily $1$ (e.g., slope $2$ has rise $2$).
• Option B: Run isn't always negative (e.g., slope $3$ has positive run).
• Option D: A slope that's an integer means there is a slope (undefined slope is "no slope", but integers are defined slopes).

Answer:

C. the run part of the slope is going to be one