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 coefficier
as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Find the slope

The two yellow points are \((20,70)\) and \((60,40)\).
The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 20,y_1=70,x_2 = 60,y_2 = 40\) into the formula:
\(m=\frac{40 - 70}{60 - 20}=\frac{-30}{40}=-\frac{3}{4}\)

Step2: Find the y - intercept

Use the slope - intercept form \(y=mx + b\), substitute \(m =-\frac{3}{4}\), \(x = 20\), \(y = 70\) into it.
\(70=-\frac{3}{4}\times20 + b\)
\(70=-15 + b\)
\(b=70 + 15=85\)

Answer:

\(y=-\frac{3}{4}x + 85\)