Question

write the equation of this line in slope-intercept form.
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 $(0, 3)$, so $b=3$.

Step2: Calculate slope $m$

Use two points $(0,3)$ and $(1,8)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{8-3}{1-0}=5$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$. Substitute $m=5$, $b=3$.

Answer:

$y=5x+3$