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 $(x_1,y_1)=(30,70)$ and $(x_2,y_2)=(80,20)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{20 - 70}{80 - 30}=\frac{- 50}{50}=-1$.

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 $(30,70)$ and $m=-1$, we have $y - 70=-1(x - 30)$. Expand to get $y-70=-x + 30$. Then, solve for $y$ in slope - intercept form $y=mx + b$: $y=-x+100$.

Answer:

$y=-x + 100$