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: Find the slope ($m$)

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let the two yellow points be $(x_1,y_1)=(0,70)$ and $(x_2,y_2)=(60,30)$. Then $m=\frac{30 - 70}{60 - 0}=\frac{-40}{60}=-\frac{2}{3}$.

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

The slope - intercept form is $y = mx + b$, where $b$ is the $y$ - intercept. From the point $(0,70)$, when $x = 0$, $y=70$, so $b = 70$. Substituting $m=-\frac{2}{3}$ and $b = 70$ into the equation, we get $y=-\frac{2}{3}x + 70$.

Answer:

$y = -\frac{2}{3}x + 70$