Question

what is the equation of the trend line in the scatter plot?

Explanation:

Step1: Find two points on the trend - line

We can choose the points (5, 6) and (8, 0).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(x_1,y_1)=(5,6)$ and $(x_2,y_2)=(8,0)$ gives $m=\frac{0 - 6}{8 - 5}=\frac{-6}{3}=- 2$.

Step3: Use the point - slope form $y - y_1=m(x - x_1)$

Using the point $(8,0)$ and $m=-2$, we have $y-0=-2(x - 8)$.

Step4: Simplify the equation

$y=-2x + 16$.

Answer:

$y=-2x + 16$