Question

what is the equation of the trend line in the scatter plot?

use the two orange 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 orange points

The two orange points are at \((0, 7)\) and \((9, 4)\).

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

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0,y_1 = 7,x_2=9,y_2 = 4\), we get \(m=\frac{4 - 7}{9 - 0}=\frac{-3}{9}=-\frac{1}{3}\).

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

The y - intercept is the value of \(y\) when \(x = 0\). From the point \((0,7)\), we know that \(b = 7\).

Step4: Write the equation in slope - intercept form (\(y=mx + b\))

Substitute \(m=-\frac{1}{3}\) and \(b = 7\) into the slope - intercept form. We get \(y=-\frac{1}{3}x + 7\).

Answer:

\(y = -\frac{1}{3}x+7\)