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

Let the two yellow points be $(x_1,y_1)=(4,8)$ and $(x_2,y_2)=(8,4)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{4 - 8}{8 - 4}=\frac{-4}{4}=-1$.

Step3: Use the point - slope form to find the y - intercept $b$

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(4,8)$ and $m=-1$, we have $y - 8=-1(x - 4)$. Expand it: $y-8=-x + 4$. Add 8 to both sides to get the slope - intercept form $y=-x+12$.

Answer:

$y=-x + 12$