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

From the graph, the two yellow points are \((4, 9)\) and \((8, 0)\).

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

The formula for slope is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the points \((x_1,y_1)=(4,9)\) and \((x_2,y_2)=(8,0)\), we get:
\(m=\frac{0 - 9}{8 - 4}=\frac{-9}{4}\)

Step3: Use point - slope form to find the equation

The point - slope form is \(y - y_1=m(x - x_1)\). Using the point \((8,0)\) and \(m =-\frac{9}{4}\):
\(y-0=-\frac{9}{4}(x - 8)\)
Simplify this equation:
\(y=-\frac{9}{4}x+\frac{9\times8}{4}\)
\(y =-\frac{9}{4}x + 18\)

Answer:

\(y=-\frac{9}{4}x + 18\)