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 $(4, 0)$ and $(9, 6)$.

Step2: Calculate the slope

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

Step3: Find y-intercept

Use $y=mx+b$, substitute $(4,0)$ and $m=\frac{6}{5}$:
$0=\frac{6}{5}(4)+b$
$0=\frac{24}{5}+b$
$b=-\frac{24}{5}$

Step4: Write slope-intercept form

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

Answer:

$y=\frac{6}{5}x-\frac{24}{5}$