Question

hat 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 \((3,0)\) and \((6,9)\)

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 3,y_1=0,x_2 = 6,y_2 = 9\), we get \(m=\frac{9-0}{6 - 3}=\frac{9}{3}=3\)

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

Using the point \((3,0)\) and \(m = 3\), the equation \(y-0=3(x - 3)\)

Step4: Simplify the equation

\(y=3x-9\)

Answer:

\(y = 3x-9\)