what is the equation of the trend line in the scatter plot? use the two blue points to write the equation in…

Explanation:

Step1: Identify the two - point coordinates

The two blue points are (0, 80) and (80, 40).

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 $(x_2,y_2)=(80,40)$ into the formula: $m=\frac{40 - 80}{80-0}=\frac{- 40}{80}=-\frac{1}{2}$.

Step3: Find the y - intercept $b$

The slope - intercept form is $y = mx + b$. Using the point $(0,80)$ (where $x = 0$ and $y = 80$), when $x = 0$, $y=b$. So $b = 80$.

Step4: Write the equation

Substitute $m=-\frac{1}{2}$ and $b = 80$ into $y=mx + b$, we get $y=-\frac{1}{2}x + 80$.

Answer:

$y=-\frac{1}{2}x + 80$