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 blue points

The blue points are $(4, 2)$ and $(9, 8)$.

Step2: Calculate the slope $m$

Use the slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{8-2}{9-4}=\frac{6}{5}$

Step3: Find the y-intercept $b$

Substitute $m=\frac{6}{5}$ and point $(4,2)$ into $y=mx+b$.
$2=\frac{6}{5}(4)+b$
$2=\frac{24}{5}+b$
$b=2-\frac{24}{5}=\frac{10}{5}-\frac{24}{5}=-\frac{14}{5}$

Step4: Write slope-intercept equation

Combine $m$ and $b$ into $y=mx+b$.
$y=\frac{6}{5}x-\frac{14}{5}$

Answer:

$y=\frac{6}{5}x-\frac{14}{5}$