find the slope-intercept equation of the line graphed below.

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0,1)$, so $b=1$.

Step2: Calculate slope using two points

Use points $(0,1)$ and $(2,3)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$ $m=\frac{3-1}{2-0}=\frac{2}{2}=1$

Step3: Write slope-intercept equation

Slope-intercept form: $y=mx+b$ Substitute $m=1$, $b=1$

Answer:

$y=x+1$