Question

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

Explanation:

Step1: Find two points on the trend - line

Let's take the points (5, 0) and (6, 8).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting the points $(x_1,y_1)=(5,0)$ and $(x_2,y_2)=(6,8)$ gives $m=\frac{8 - 0}{6 - 5}=\frac{8}{1}=8$.

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

Using the point $(5,0)$ and $m = 8$, we have $y-0=8(x - 5)$.

Step4: Simplify the equation

$y=8x-40$.

Answer:

$y = 8x-40$