write an equation of the line below.

Answer:

$y=-5x + 5$

Explanation:

Step1: Find two - point coordinates

The line passes through $(0,5)$ and $(1,0)$.

Step2: Calculate the slope $m$

$m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 5}{1 - 0}=-5$

Step3: Use the slope - intercept form $y=mx + b$

The $y$ - intercept $b$ is 5 (from the point $(0,5)$). Substitute $m=-5$ and $b = 5$ into $y=mx + b$ to get $y=-5x + 5$.