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 formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,9)\) and \((x_2,y_2)=(9,3.5)\).
\(m=\frac{3.5 - 9}{9 - 0}=\frac{- 5.5}{9}=-\frac{11}{18}\)

Step2: Use the slope - intercept form \(y = mx + b\)

We know that \(b\) is the \(y\) - intercept. From the point \((0,9)\), when \(x = 0\), \(y=9\), so \(b = 9\)
The equation of the line is \(y=-\frac{11}{18}x + 9\)

Answer:

\(y =-\frac{11}{18}x + 9\)