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

Explanation:

Step1: Recall slope formula

The slope $m$ of a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify the points

Here, $x_1 = 0,y_1=-4,x_2 = 30,y_2=-9$.

Step3: Substitute values into formula

$m=\frac{-9-(-4)}{30 - 0}=\frac{-9 + 4}{30}=\frac{-5}{30}$.

Step4: Simplify the fraction

$m=-\frac{1}{6}$.

Answer:

$-\frac{1}{6}$