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

The two yellow points are \((4,0)\) and \((6,8)\).
The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 4,y_1 = 0,x_2 = 6,y_2 = 8\) into the formula:
\(m=\frac{8 - 0}{6 - 4}=\frac{8}{2}=4\).

Step2: Find the y - intercept

The slope - intercept form is \(y=mx + b\).
We know \(m = 4\) and we can use the point \((4,0)\) (or \((6,8)\)) to find \(b\).
Using \((4,0)\): \(0=4\times4 + b\).
Solve for \(b\): \(b=-16\).

Step3: Write the equation

Substitute \(m = 4\) and \(b=-16\) into \(y=mx + b\).
The equation is \(y = 4x-16\).

Answer:

\(y = 4x-16\)