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 two yellow points

From the scatter plot, the yellow points are $(0,7)$ and $(9,4)$.

Step2: Calculate the slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 7}{9 - 0} = \frac{-3}{9} = -\frac{1}{3}$.

Step3: Find the y-intercept

The y-intercept $b$ is the y-value when $x=0$, which is $7$.

Step4: Write the equation

Slope-intercept form: $y = mx + b = -\frac{1}{3}x + 7$.

Answer:

$y = -\frac{1}{3}x + 7$