Question

1. what is the equation of the trend line in the scatter plot?
2. use the two yellow 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 yellow points

From the scatter plot, the two yellow points are \((0, 80)\) and \((60, 20)\).

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

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 0\), \(y_1 = 80\), \(x_2 = 60\), \(y_2 = 20\):
\(m=\frac{20 - 80}{60 - 0}=\frac{-60}{60}=-1\)

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

The y - intercept is the value of \(y\) when \(x = 0\). From the point \((0, 80)\), \(b = 80\).

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

Substitute \(m=-1\) and \(b = 80\) into the formula: \(y=-x + 80\)

Answer:

\(y=-x + 80\)