Question

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

Explanation:

Step1: Identify y-intercept (b)

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

Step2: Calculate slope (m)

Use points $(0,2)$ and $(-1,-2)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{-2-2}{-1-0}=\frac{-4}{-1}=4$

Step3: Write linear equation

Substitute $m=4$ and $b=2$ into $y=mx+b$.

Answer:

$y = 4x + 2$