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 - point coordinates

Let the two yellow points be $(2,8)$ and $(6,0)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $(x_1,y_1)=(2,8)$ and $(x_2,y_2)=(6,0)$ into it. $m=\frac{0 - 8}{6 - 2}=\frac{-8}{4}=- 2$.

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

The slope - intercept form is $y = mx + b$. Use the point $(6,0)$ and $m=-2$. Substitute into the equation: $0=-2\times6 + b$. Then $0=-12 + b$, and $b = 12$.

Step4: Write the equation of the line

The equation of the line in slope - intercept form is $y=-2x + 12$.

Answer:

$y=-2x + 12$