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: Find the coordinates of the two orange points

The two orange points are \((20,10)\) and \((90,80)\)

Step2: Calculate the slope \(m\)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\)
Substitute \(x_1 = 20,y_1=10,x_2 = 90,y_2 = 80\)
\(m=\frac{80 - 10}{90 - 20}=\frac{70}{70}=1\)

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

Use the point \((20,10)\) and \(m = 1\)
\(10=1\times20 + b\)
\(b=10 - 20=- 10\)

Step4: Write the equation of the line

Substitute \(m = 1\) and \(b=-10\) into \(y=mx + b\)
\(y=x - 10\)

Answer:

\(y=x - 10\)