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

Use two points $(0,0)$ and $(6,2)$. Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{2-0}{6-0}=\frac{2}{6}=\frac{1}{3}$

Step3: Write slope-intercept form

Slope-intercept form: $y=mx+b$
Substitute $m=\frac{1}{3}$ and $b=0$.

Answer:

$y=\frac{1}{3}x$