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 - point coordinates

The two yellow points are $(5,9)$ and $(8,0)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(5,9)$ and $(x_2,y_2)=(8,0)$ into it: $m=\frac{0 - 9}{8 - 5}=\frac{-9}{3}=- 3$.

Step3: Use the point - slope form to find the $y$ - intercept $b$

The slope - intercept form is $y = mx + b$. Use the point $(8,0)$ and $m=-3$. Substitute into the equation: $0=-3\times8 + b$. Then $b = 24$.

Answer:

$y=-3x + 24$