Question

what is the slope of this line? simplify your answer completely. slope = $-\frac{?}{\quad}$ slope: $\frac{\text{rise}}{\text{run}}$

Explanation:

Step1: Identify two points

The line passes through $(0, 1)$ and $(1, -3)$.

Step2: Calculate rise over run

Rise: $-3 - 1 = -4$; Run: $1 - 0 = 1$.
Slope formula: $\text{slope} = \frac{\text{rise}}{\text{run}} = \frac{-4}{1} = -4$

Step3: Match given form

The given form is $\text{Slope} = -\frac{[?]}{[]}$, so $-4 = -\frac{4}{1}$.

Answer:

$\text{Slope} = -\frac{4}{1}$ (or simplified to $-4$, matching the form: numerator 4, denominator 1)