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 slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,6)\) and \((x_2,y_2)=(8,1)\). Then \(m=\frac{1 - 6}{8 - 0}=\frac{-5}{8}\).

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

We know that \(b\) is the \(y\) - intercept. From the point \((0,6)\), when \(x = 0\), \(y=6\), so \(b = 6\).
Substitute \(m=-\frac{5}{8}\) and \(b = 6\) into \(y=mx + b\), we get \(y=-\frac{5}{8}x+6\).

Answer:

\(y =-\frac{5}{8}x + 6\)