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

The two yellow points are $(7,0)$ and $(5,8)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(7,0)$ and $(x_2,y_2)=(5,8)$. Then $m=\frac{8 - 0}{5 - 7}=\frac{8}{-2}=-4$.

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 $(7,0)$ and $m=-4$, we have $y-0=-4(x - 7)$. Expanding gives $y=-4x + 28$.

Answer:

$y=-4x + 28$