Question

what is the equation of the trend line in the scatter plot?
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 points

The two yellow points are \((0, 7)\) and \((6, 4)\).

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

The formula for slope is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the points: \(m=\frac{4 - 7}{6 - 0}=\frac{-3}{6}=-\frac{1}{2}\).

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

The y-intercept is the value of \(y\) when \(x = 0\). From the point \((0, 7)\), \(b = 7\).

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

Substitute \(m = -\frac{1}{2}\) and \(b = 7\) into the formula: \(y=-\frac{1}{2}x + 7\).

Answer:

\(y = -\frac{1}{2}x + 7\)