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: Identify the two yellow points

The two yellow points are at \((2, 0)\) and \((6, 6)\).

Step2: Calculate the slope (\(m\))

The formula for slope is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the points \((2, 0)\) and \((6, 6)\):
\(m=\frac{6 - 0}{6 - 2}=\frac{6}{4}=\frac{3}{2}\)

Step3: Use point - slope form to find the equation

The point - slope form is \(y - y_1=m(x - x_1)\). Using the point \((2, 0)\) and \(m = \frac{3}{2}\):
\(y-0=\frac{3}{2}(x - 2)\)
Simplify this equation:
\(y=\frac{3}{2}x-3\)

Answer:

\(y = \frac{3}{2}x-3\)