Question

what is the equation of the trend line in the scatter plot?
use the two orange 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 the two orange points be $(x_1,y_1)=(3,2)$ and $(x_2,y_2)=(8,7)$.

$$ m=\frac{7 - 2}{8 - 3}=\frac{5}{5}=1 $$

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

Use the slope - intercept form $y = mx + b$ and substitute $m = 1$ and the point $(x = 3,y = 2)$ into it.

$$ 2=1\times3 + b $$

$$ b=2 - 3=-1 $$

Step3: Write the equation

Substitute $m = 1$ and $b=-1$ into $y=mx + b$.

$$ y=x - 1 $$

Answer:

$y=x - 1$