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 yellow points

The yellow points are $(0, 1)$ and $(6, 6)$.

Step2: Calculate the slope

Slope $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 1}{6 - 0} = \frac{5}{6}$

Step3: Find y-intercept

The y-intercept $b$ is the y-value when $x=0$, so $b=1$.

Step4: Write slope-intercept form

Slope-intercept form is $y = mx + b$, substitute $m$ and $b$.

Answer:

$y = \frac{5}{6}x + 1$