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 is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(5,0)\) and \((x_2,y_2)=(7,8)\).

$$m=\frac{8 - 0}{7 - 5}=\frac{8}{2}=4$$

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

We know \(m = 4\). Using the point \((5,0)\) (substitute \(x = 5\), \(y=0\) into \(y=mx + b\)):

$$0=4\times5 + b$$

$$0 = 20 + b$$

$$b=-20$$

Answer:

\(y = 4x-20\)