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: Find the coordinates of two blue points

The two blue points are $(3,3)$ and $(6,8)$.

Step2: Calculate the slope $m$

Use the slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$.
Let $(x_1,y_1)=(3,3)$ and $(x_2,y_2)=(6,8)$.
$m=\frac{8 - 3}{6 - 3}=\frac{5}{3}$.

Step3: Use the point - slope form $y - y_1=m(x - x_1)$

Take the point $(3,3)$ and $m = \frac{5}{3}$.
$y - 3=\frac{5}{3}(x - 3)$.

Step4: Simplify to slope - intercept form $y=mx + b$

$y-3=\frac{5}{3}x-5$.
$y=\frac{5}{3}x-5 + 3$.
$y=\frac{5}{3}x-2$.

Answer:

$y=\frac{5}{3}x - 2$