write the equation for the relationship shown in the graph. y =

Explanation:

Step1: Find the slope

The line passes through points (0, 0) and (5, 20). The slope $m$ formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So $m=\frac{20 - 0}{5 - 0}=\frac{20}{5}=4$.

Step2: Find the y - intercept

The line passes through the origin (0, 0), so the y - intercept $b = 0$.

Step3: Write the equation

The slope - intercept form of a line is $y=mx + b$. Substituting $m = 4$ and $b = 0$ gives $y = 4x$.

Answer:

$y = 4x$