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 the two points

The yellow points are $(3,0)$ and $(8,7)$.

Step2: Calculate the slope

Slope $m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-0}{8-3} = \frac{7}{5}$

Step3: Find y-intercept $b$

Substitute $(3,0)$ and $m=\frac{7}{5}$ into $y=mx+b$:
$0 = \frac{7}{5}(3) + b$
$0 = \frac{21}{5} + b$
$b = -\frac{21}{5}$

Step4: Write slope-intercept equation

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

Answer:

$y = \frac{7}{5}x - \frac{21}{5}$