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 $(5,1)$ and $(7,8)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(5,1)$ and $(x_2,y_2)=(7,8)$ into it: $m=\frac{8 - 1}{7 - 5}=\frac{7}{2}$.

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

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(5,1)$ and $m = \frac{7}{2}$, we have $y-1=\frac{7}{2}(x - 5)$. Expand it: $y-1=\frac{7}{2}x-\frac{35}{2}$. Then $y=\frac{7}{2}x-\frac{35}{2}+1=\frac{7}{2}x-\frac{35}{2}+\frac{2}{2}=\frac{7}{2}x-\frac{33}{2}$.

Answer:

$y=\frac{7}{2}x-\frac{33}{2}$