Question

write the equation of this line in slope-intercept form.

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope $m$

Use two points, e.g., $(0,0)$ and $(2,4)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{2-0}=2$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=2$ and $b=0$.
$y=2x+0$

Answer:

$y=2x$