Question

write the equation in slope-intercept form of the line shown in the graph below.

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope $m$

Use two points, e.g., $(0,2)$ and $(1,4)$.
$m=\frac{4-2}{1-0}=2$

Step3: Write slope-intercept form

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

Answer:

$y=2x+2$