Question

what is the linear equation of this graph?
y = \square x + \square

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope

Use two points $(0,2)$ and $(1,0)$.
$\text{slope } m = \frac{0-2}{1-0} = -2$

Step3: Write linear equation

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

Answer:

$y = -2x + 2$