Question

what is the equation of this linear function? y = ?/ x +

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0,2)$, so $b=2$.

Step2: Calculate slope m

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

Step3: Write linear equation

Substitute $m$ and $b$ into $y=mx+b$.

Answer:

$y = \frac{1}{2}x + 2$