Question

what is the equation of the trend line in the scatter plot?
use the two yellow points to write the equation in slope - intercept form. write any coefficients as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Identify yellow points

The yellow points are $(20, 0)$ and $(60, 60)$.

Step2: Calculate slope $m$

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{60-0}{60-20}=\frac{60}{40}=\frac{3}{2}$

Step3: Find y-intercept $b$

Use $y=mx+b$ with $(20,0)$:
$0=\frac{3}{2}(20)+b$
$0=30+b$
$b=-30$

Step4: Write slope-intercept equation

Substitute $m$ and $b$ into $y=mx+b$.

Answer:

$y=\frac{3}{2}x - 30$