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, 0) and (7, 8).

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substituting $x_1 = 5,y_1 = 0,x_2 = 7,y_2 = 8$ gives $m=\frac{8 - 0}{7 - 5}=\frac{8}{2}=4$.

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

Using the point $(5,0)$ and $m = 4$, we have $y-0 = 4(x - 5)$.

Step4: Simplify the equation

$y=4x-20$.

Answer:

$y = 4x-20$