Question

what is the equation of the trend line in the scatter plot?
use the two blue 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 the two points

The blue points are $(20, 0)$ and $(80, 85)$.

Step2: Calculate the slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{85-0}{80-20}=\frac{85}{60}=\frac{17}{12}$

Step3: Find y-intercept $b$

Use $y=mx+b$, substitute $m=\frac{17}{12}$ and $(20,0)$:
$0=\frac{17}{12}(20)+b$
$0=\frac{340}{12}+b$
$b=-\frac{85}{3}$

Step4: Write slope-intercept form

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

Answer:

$y=\frac{17}{12}x-\frac{85}{3}$