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 $(x_1,y_1)=(30,20)$ and $(x_2,y_2)=(60,70)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute the values: $m=\frac{70 - 20}{60 - 30}=\frac{50}{30}=\frac{5}{3}$.

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 $(30,20)$ and $m = \frac{5}{3}$, we have $y-20=\frac{5}{3}(x - 30)$. Expand: $y-20=\frac{5}{3}x-50$. Add 20 to both sides to get $y=\frac{5}{3}x-30$.

Answer:

$y=\frac{5}{3}x - 30$