what is the slope of the line passing through the points (0, - 5) and (4, 2)? enter your answer in the box.

Explanation:

Step1: Identify slope - formula

The slope formula for 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

Let $(x_1,y_1)=(0, - 5)$ and $(x_2,y_2)=(4,2)$. Then $x_1 = 0,y_1=-5,x_2 = 4,y_2 = 2$.

Step3: Calculate slope

$m=\frac{2-(-5)}{4 - 0}=\frac{2 + 5}{4}=\frac{7}{4}$.

Answer:

$\frac{7}{4}$