Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope (rise/run)

Use points $(0,9)$ and $(1,10)$:
$\text{slope } m = \frac{10-9}{1-1-0} = 1$

Step3: Write linear equation

Use slope-intercept form $y=mx+b$.
$y = 1x + 9$

Answer:

$y = x + 9$