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 \((0, 40)\) and \((60, 60)\).

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

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0\), \(y_1 = 40\), \(x_2 = 60\), \(y_2 = 60\):
\(m=\frac{60 - 40}{60 - 0}=\frac{20}{60}=\frac{1}{3}\)

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

The y - intercept is the value of \(y\) when \(x = 0\). From the point \((0, 40)\), \(b = 40\).

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

Substituting \(m=\frac{1}{3}\) and \(b = 40\) into the slope - intercept form:
\(y=\frac{1}{3}x + 40\)

Answer:

\(y=\frac{1}{3}x + 40\)