Question

what is the equation of the trend line in the scatter plot? use the two blue points to write the equation in slope - intercept form. write any coefficients as integers, proper fractions, or improper fractions in simplest form.

Explanation:

Step1: Find the slope ($m$)

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let $(x_1,y_1)=(0,8)$ and $(x_2,y_2)=(8,2)$.
$m=\frac{2 - 8}{8 - 0}=\frac{-6}{8}=-\frac{3}{4}$.

Step2: Find the $y$-intercept ($b$)

The slope - intercept form is $y = mx + b$. From the point $(0,8)$, when $x = 0$, $y=8$. So $b = 8$.

Step3: Write the equation

Substitute $m =-\frac{3}{4}$ and $b = 8$ into $y=mx + b$.
$y=-\frac{3}{4}x + 8$.

Answer:

$y =-\frac{3}{4}x + 8$