Question

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

Explanation:

Step1: Identify two points

Points: $(0, 2)$ and $(4, 3)$

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{3-2}{4-0}=\frac{1}{4}$

Step3: Find y-intercept $b$

From point $(0,2)$, $b=2$

Step4: Write linear equation

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

Answer:

$y = \frac{1}{4}x + 2$