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 $(x_1,y_1)$ and $(x_2,y_2)$. Assume the first yellow point is $(5,9)$ and the second is $(9,1)$.

Step2: Calculate the slope $m$

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Substitute $x_1 = 5,y_1 = 9,x_2 = 9,y_2 = 1$ into the formula: $m=\frac{1 - 9}{9 - 5}=\frac{-8}{4}=-2$.

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 $(5,9)$ and $m=-2$, we have $y - 9=-2(x - 5)$. Expand the right - hand side: $y-9=-2x + 10$. Add 9 to both sides to get the slope - intercept form $y=-2x+19$.

Answer:

$y=-2x + 19$