Question

write the equation for the relationship shown in the graph.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 5)$, so $b=5$.

Step2: Calculate slope

Use two points, e.g., $(0,5)$ and $(2,7)$.
Slope $m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-5}{2-0}=1$

Step3: Write linear equation

Substitute $m=1$ and $b=5$ into $y=mx+b$.
$y=1x+5$ simplifies to $y=x+5$

Answer:

$y = x + 5$