Question

question
what is the slope of the line that passes through the points $(0, -4)$ and $(30, -9)$? write your answer in simplest form.

Explanation:

Step1: Recall slope formula

The slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2-y_1}{x_2-x_1}$

Step2: Assign values to variables

Let $(x_1,y_1)=(0,-4)$ and $(x_2,y_2)=(30,-9)$. Substitute into the formula:
$m=\frac{-9-(-4)}{30-0}$

Step3: Simplify the expression

$m=\frac{-9+4}{30}=\frac{-5}{30}=\frac{-1}{6}$

Answer:

$\boldsymbol{-\frac{1}{6}}$