Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify two points

From the graph, we can pick two clear points: $(8, 0)$ and $(18, 10)$.

Step2: Calculate the slope $m$

Use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{10-0}{18-8}=\frac{10}{10}=1$

Step3: Find the y-intercept $b$

Use the slope-intercept form $y=mx+b$, substitute $m=1$ and point $(8,0)$.
$0=1\times8+b$
Solve for $b$: $b=0-8=-8$

Step4: Write the equation

Substitute $m=1$ and $b=-8$ into $y=mx+b$.
$y=1x-8$ or $y=x-8$

Answer:

$y=x-8$