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 $(30, 0)$ and $(70, 77)$.

Step2: Calculate the slope

Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{77-0}{70-30}=\frac{77}{40}$

Step3: Find y-intercept $b$

Use $y=mx+b$ and $(30,0)$:
$0=\frac{77}{40}(30)+b$
$0=\frac{2310}{40}+b$
$b=-\frac{231}{4}$

Step4: Write slope-intercept equation

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

Answer:

$y=\frac{77}{40}x-\frac{231}{4}$