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 - point coordinates

Let the first yellow point be $(x_1,y_1)=(2,9)$ and the second yellow point be $(x_2,y_2)=(7,4)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{4 - 9}{7 - 2}=\frac{-5}{5}=-1$.

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

The slope - intercept form is $y = mx + b$. Use the point $(2,9)$ and $m=-1$. Substitute into the equation: $9=-1\times2 + b$. Solve for $b$: $b=9 + 2=11$.

Answer:

$y=-x + 11$