what is the equation of the trend line in the scatter plot? use the two yellow points to write the equation…

Explanation:

Step1: Identify the two - point coordinates

The two yellow points are $(3,9)$ and $(8,4)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(3,9)$ and $(x_2,y_2)=(8,4)$ into it: $m=\frac{4 - 9}{8 - 3}=\frac{-5}{5}=- 1$.

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

The point - slope form is $y - y_1=m(x - x_1)$. Let's use the point $(3,9)$ and $m=-1$. Then $y - 9=-1(x - 3)$. Expand it: $y-9=-x + 3$. Add 9 to both sides to get the slope - intercept form $y=-x+12$.

Answer:

$y=-x + 12$