Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 9)$, so $b=9$.

Step2: Calculate slope (rise over run)

Pick two points: $(0,9)$ and $(4,13)$.
Slope $m=\frac{13-9}{4-0}=\frac{4}{4}=1$

Step3: Write slope-intercept equation

Use $y=mx+b$, substitute $m=1, b=9$.
$y=1x+9$ simplifies to $y=x+9$

Answer:

$y = x + 9$