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 coordinates of the two yellow points

The two yellow points are \((0,6)\) and \((7,3)\).

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \((x_1,y_1)=(0,6)\) and \((x_2,y_2)=(7,3)\) into the formula:
\(m=\frac{3 - 6}{7 - 0}=\frac{-3}{7}=-\frac{3}{7}\)

Step3: 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 \(b = 6\).

Step4: Write the equation of the line

Substitute \(m =-\frac{3}{7}\) and \(b = 6\) into \(y=mx + b\).
The equation is \(y=-\frac{3}{7}x + 6\)

Answer:

\(y =-\frac{3}{7}x+6\)