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 $(0, 5)$ and $(6, 9)$.

Step2: Calculate the slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{9-5}{6-0}=\frac{4}{6}=\frac{2}{3}$

Step3: Find y-intercept

The line crosses the y-axis at $(0,5)$, so $b=5$.

Step4: Write slope-intercept form

Slope-intercept form: $y=mx+b$
Substitute $m=\frac{2}{3}$ and $b=5$.

Answer:

$y=\frac{2}{3}x+5$