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 coefficient as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Identify the two - point coordinates

Let the first yellow point be $(x_1,y_1)=(30,70)$ and the second yellow point be $(x_2,y_2)=(90,20)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{20 - 70}{90 - 30}=\frac{-50}{60}=-\frac{5}{6}$.

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 $m =-\frac{5}{6}$, we have $y-70=-\frac{5}{6}(x - 30)$. Expand it: $y-70=-\frac{5}{6}x+25$. Then $y=-\frac{5}{6}x + 95$.

Answer:

$y=-\frac{5}{6}x + 95$