Question

what is the equation of the trend line in the scatter plot?
use the two orange 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 slope ($m$)

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let the two orange points be $(x_1,y_1)=(0,3)$ and $(x_2,y_2)=(9,8)$.

$$m=\frac{8 - 3}{9 - 0}=\frac{5}{9}$$

Step2: Use the slope - intercept form ($y = mx + b$)

The slope - intercept form is $y=mx + b$, where $m$ is the slope and $b$ is the $y$ - intercept. We found $m = \frac{5}{9}$, and from the point $(0,3)$, when $x = 0$, $y=b = 3$.

Answer:

$y=\frac{5}{9}x + 3$