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 $(0,80)$ and $(90,45)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(0,80)$ and $(x_2,y_2)=(90,45)$ into it. $m=\frac{45 - 80}{90-0}=\frac{- 35}{90}=-\frac{7}{18}$.

Step3: Determine the y - intercept $b$

The y - intercept is the y - value when $x = 0$. From the point $(0,80)$, $b = 80$.

Step4: Write the equation in slope - intercept form

The slope - intercept form is $y=mx + b$. Substitute $m =-\frac{7}{18}$ and $b = 80$ into it, we get $y=-\frac{7}{18}x + 80$.

Answer:

$y=-\frac{7}{18}x + 80$