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: Identify the two blue points

From the scatter plot, the two blue points are \((5, 2)\) and \((9, 6)\).

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

The formula for slope is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 5\), \(y_1 = 2\), \(x_2 = 9\), \(y_2 = 6\):
\(m=\frac{6 - 2}{9 - 5}=\frac{4}{4}=1\)

Step3: Use point - slope form to find the equation

The point - slope form is \(y - y_1=m(x - x_1)\). Using the point \((5, 2)\) and \(m = 1\):
\(y - 2=1\times(x - 5)\)
Simplify to slope - intercept form (\(y=mx + b\)):
\(y-2=x - 5\)
\(y=x - 5 + 2\)
\(y=x - 3\)

Answer:

\(y = x-3\)