Question

what is the equation of the trend line in the scatter plot?
use the two blue points to write the equation in slope - intercept form. write any coefficients
as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Find the slope

The two blue points are \((3,0)\) and \((6,9)\).
The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 3,y_1=0,x_2 = 6,y_2 = 9\) into the formula:
\(m=\frac{9-0}{6 - 3}=\frac{9}{3}=3\)

Step2: Find the y - intercept

The slope - intercept form is \(y=mx + b\).
We know \(m = 3\) and we can use the point \((3,0)\) (or \((6,9)\)). Substitute \(x = 3,y = 0,m=3\) into \(y=mx + b\):
\(0=3\times3 + b\)
\(0 = 9 + b\)
\(b=-9\)

Step3: Write the equation

Substitute \(m = 3\) and \(b=-9\) into \(y=mx + b\).
The equation is \(y = 3x-9\)

Answer:

\(y = 3x-9\)