Question

what is the equation of the trend line in the scatter plot?
use the two yellow 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 yellow points are \((30,30)\) and \((60,80)\).
The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 30,y_1 = 30,x_2=60,y_2 = 80\) into the formula:
\(m=\frac{80 - 30}{60 - 30}=\frac{50}{30}=\frac{5}{3}\)

Step2: Find the \(y -\)intercept

Use the slope - intercept form \(y=mx + b\), substitute \(m=\frac{5}{3}\) and the point \((30,30)\) into it.
\(30=\frac{5}{3}\times30 + b\)
\(30 = 50 + b\)
\(b=30 - 50=-20\)

Answer:

\(y=\frac{5}{3}x-20\)