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 \(m\)

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,6)\) and \((x_2,y_2)=(9,4)\). Then \(m=\frac{4 - 6}{9-0}=\frac{-2}{9}\)

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

The slope - intercept form of a line is \(y=mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. We know from the point \((0,6)\) that when \(x = 0\), \(y=6\), so \(b = 6\)

Step3: Write the equation

Substitute \(m=-\frac{2}{9}\) and \(b = 6\) into \(y=mx + b\). The equation is \(y=-\frac{2}{9}x+6\)

Answer:

\(y =-\frac{2}{9}x + 6\)