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

Explanation:

Step1: Identify the two points

The yellow points are $(2, 1)$ and $(7, 9)$.

Step2: Calculate the slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$ $m=\frac{9-1}{7-2}=\frac{8}{5}$

Step3: Find y-intercept $b$

Substitute $m=\frac{8}{5}$ and $(2,1)$ into $y=mx+b$: $1=\frac{8}{5}(2)+b$ $1=\frac{16}{5}+b$ $b=1-\frac{16}{5}=\frac{5}{5}-\frac{16}{5}=-\frac{11}{5}$

Step4: Write slope-intercept equation

Combine $m$ and $b$ into $y=mx+b$

Answer:

$y=\frac{8}{5}x-\frac{11}{5}$