Question

what is the equation of the trend line in the scatter plot? use the two blue 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 coordinates of the two blue points

The first blue point is \((20,60)\) and the second blue point is \((70,40)\).

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substitute \(x_1 = 20,y_1=60,x_2 = 70,y_2 = 40\) into the formula:
\(m=\frac{40 - 60}{70 - 20}=\frac{-20}{50}=-\frac{2}{5}\)

Step3: Use the slope - intercept form \(y=mx + b\) to find \(b\)

Substitute \(m =-\frac{2}{5}\) and the point \((20,60)\) into \(y=mx + b\).
\(60=-\frac{2}{5}\times20 + b\)
\(60=- 8 + b\)
\(b=60 + 8=68\)

Answer:

\(y =-\frac{2}{5}x + 68\)