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 \((0, 9)\) and \((8, 2)\).

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

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the points \((x_1,y_1)=(0,9)\) and \((x_2,y_2)=(8,2)\), we get \(m=\frac{2 - 9}{8 - 0}=\frac{-7}{8}\).

Step3: Determine the y - intercept (\(b\))

The slope - intercept form of a line is \(y = mx + b\). We know that when \(x = 0\), \(y=b\). From the point \((0,9)\), we can see that \(b = 9\).

Step4: Write the equation

Substitute \(m=-\frac{7}{8}\) and \(b = 9\) into the slope - intercept form \(y=mx + b\). So the equation is \(y=-\frac{7}{8}x + 9\).

Answer:

\(y = -\frac{7}{8}x+9\)