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 \((0, 4)\) and \((8, 7)\).

Step2: Calculate the slope (m)

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the points \((x_1,y_1)=(0,4)\) and \((x_2,y_2)=(8,7)\), we get \(m=\frac{7 - 4}{8 - 0}=\frac{3}{8}\).

Step3: Determine the y-intercept (b)

The y-intercept is the value of \(y\) when \(x = 0\). From the point \((0, 4)\), we see that \(b = 4\).

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

Substituting \(m=\frac{3}{8}\) and \(b = 4\) into the slope - intercept form, we get \(y=\frac{3}{8}x+4\).

Answer:

\(y=\frac{3}{8}x + 4\)