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

Let the two orange points be $(x_1,y_1)=(4,1)$ and $(x_2,y_2)=(6,8)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{8 - 1}{6 - 4}=\frac{7}{2}$.

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

The slope - intercept form is $y=mx + b$. Using the point $(4,1)$ and $m = \frac{7}{2}$, we substitute into the equation: $1=\frac{7}{2}\times4 + b$. $1 = 14 + b$, then $b=1 - 14=-13$.

Answer:

$y=\frac{7}{2}x-13$