Question

what is the slope of this line? (0, 8) (16, 12) simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify slope - formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Select two points

We have the points $(0,8)$ and $(16,12)$. Let $(x_1,y_1)=(0,8)$ and $(x_2,y_2)=(16,12)$.

Step3: Substitute values

Substitute into the slope - formula: $m=\frac{12 - 8}{16 - 0}$.

Step4: Simplify

$m=\frac{4}{16}=\frac{1}{4}$.

Answer:

$\frac{1}{4}$