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: Find the slope ($m$)

The formula for slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Let the two yellow points be $(x_1,y_1)=(0,4)$ and $(x_2,y_2)=(6,7)$.

$$m=\frac{7 - 4}{6 - 0}=\frac{3}{6}=\frac{1}{2}$$

Step2: Use the slope - intercept form ($y = mx + b$)

The slope - intercept form is $y=mx + b$, where $m$ is the slope and $b$ is the $y$ - intercept. We know from the point $(0,4)$ that when $x = 0$, $y=4$, so $b = 4$.
Substitute $m=\frac{1}{2}$ and $b = 4$ into the equation: $y=\frac{1}{2}x+4$

Answer:

$y=\frac{1}{2}x + 4$