Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify slope formula

Slope $m = \frac{y_2 - y_1}{x_2 - x_1}$

Step2: Pick two points on line

Use $(0,0)$ and $(8,2)$

Step3: Calculate the slope

$m = \frac{2 - 0}{8 - 0} = \frac{2}{8} = \frac{1}{4}$

Step4: Identify y-intercept

Line crosses y-axis at $(0,0)$, so $b=0$

Step5: Write linear equation

$y = mx + b$
Substitute $m=\frac{1}{4}$ and $b=0$

Answer:

$y = \frac{1}{4}x$