Question

1. write the equation of this line in slope-intercept form.
2. write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify y-intercept

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

Step2: Calculate slope using two points

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

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=\frac{1}{2}$ and $b=0$.
$y=\frac{1}{2}x+0$

Answer:

$y=\frac{1}{2}x$