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

Explanation:

Step1: Find the slope ($m$)

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let the two yellow points be $(x_1,y_1)=(2,0)$ and $(x_2,y_2)=(8,7.5)$. [ m=\frac{7.5 - 0}{8 - 2}=\frac{7.5}{6}=\frac{75}{60}=\frac{5}{4} ]

Step2: Find the $y$-intercept ($b$)

Use the slope - intercept form $y = mx + b$. Substitute $m=\frac{5}{4}$, $x = 2$, and $y = 0$ into the equation. [ 0=\frac{5}{4}(2)+b ] [ 0=\frac{5}{2}+b ] [ b=-\frac{5}{2} ]

Step3: Write the equation

The slope - intercept form is $y=mx + b$. Substitute $m = \frac{5}{4}$ and $b=-\frac{5}{2}$. [ y=\frac{5}{4}x-\frac{5}{2} ]

Answer:

$y=\frac{5}{4}x-\frac{5}{2}$