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 the coefficients as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Identify the two - yellow points

Let the two yellow points be $(x_1,y_1)=(20,10)$ and $(x_2,y_2)=(60,80)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. So, $m=\frac{80 - 10}{60 - 20}=\frac{70}{40}=\frac{7}{4}$.

Step3: Use the point - slope form to find the equation

The point - slope form is $y - y_1=m(x - x_1)$. Using the point $(20,10)$ and $m = \frac{7}{4}$, we have $y-10=\frac{7}{4}(x - 20)$.

Step4: Convert to slope - intercept form

Expand the right - hand side: $y-10=\frac{7}{4}x-35$. Then, add 10 to both sides to get $y=\frac{7}{4}x - 25$.

Answer:

$y=\frac{7}{4}x - 25$