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

Explanation:

Step1: Identify the two - point coordinates

The two orange points are $(4,9)$ and $(6,3)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(4,9)$ and $(x_2,y_2)=(6,3)$ into the formula: $m=\frac{3 - 9}{6 - 4}=\frac{-6}{2}=-3$.

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 $(4,9)$ and $m = - 3$. So $y-9=-3(x - 4)$. Expand the right - hand side: $y-9=-3x + 12$. Add 9 to both sides to get the slope - intercept form $y=-3x+21$.

Answer:

$y=-3x + 21$