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 the two points

The yellow points are $(0, 2)$ and $(9, 6)$.

Step2: Calculate the slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{6-2}{9-0}=\frac{4}{9}$

Step3: Find the y-intercept

The y-intercept $b$ is the y-value when $x=0$, so $b=2$.

Step4: Write slope-intercept equation

Slope-intercept form: $y=mx+b$
Substitute $m=\frac{4}{9}$ and $b=2$.

Answer:

$y=\frac{4}{9}x+2$