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 yellow points

The two yellow points are at \((0, 3)\) and \((9, 6)\).

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

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
Substituting the points \((0, 3)\) as \((x_1, y_1)\) and \((9, 6)\) as \((x_2, y_2)\):
\(m = \frac{6 - 3}{9 - 0} = \frac{3}{9} = \frac{1}{3}\).

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

The y-intercept is the value of \(y\) when \(x = 0\). From the point \((0, 3)\), \(b = 3\).

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

Substituting \(m = \frac{1}{3}\) and \(b = 3\) into the formula:
\(y = \frac{1}{3}x + 3\).

Answer:

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