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 two points on the trend line

From the scatter plot, the two yellow points (let's assume their coordinates) are \((4, 2)\) and \((9, 7)\) (by visually inspecting the trend line and the yellow markers).

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

The formula for slope is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1 = 4\), \(y_1 = 2\), \(x_2 = 9\), \(y_2 = 7\), we get \(m=\frac{7 - 2}{9 - 4}=\frac{5}{5}=1\).

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

Using the slope - intercept form \(y = mx + b\) and one of the points, say \((4, 2)\) with \(m = 1\). Substitute into the equation: \(2=1\times4 + b\). Solving for \(b\), we get \(b=2 - 4=- 2\).

Step4: Write the equation

Using the slope - intercept form \(y=mx + b\) with \(m = 1\) and \(b=-2\), the equation is \(y=x - 2\).

Answer:

\(y = x-2\)