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 $(0, 80)$, so $b=80$.

Step2: Calculate slope $m$

Use points $(0,80)$ and $(-10, 30)$.
$m=\frac{y_2-y_1}{x_2-x_1}=\frac{30-80}{-10-0}=\frac{-50}{-10}=5$

Step3: Write slope-intercept form

Slope-intercept form is $y=mx+b$.
Substitute $m=5$ and $b=80$.

Answer:

$y=5x+80$