Question

choose a line of fit. then write an equation of the line.

Explanation:

Step1: Identify correct line of fit

The top-left scatter plot has a line that evenly balances points above and below it, matching the trend of the original data.

Step2: Pick two points on the line

Select points $(0, 18)$ and $(9, 0)$ on the line.

Step3: Calculate slope

Use slope formula $m=\frac{y_2-y_1}{x_2-x_1}$.
$m=\frac{0-18}{9-0}=\frac{-18}{9}=-2$

Step4: Find y-intercept

The line crosses the y-axis at $(0, 18)$, so $b=18$.

Step5: Write line equation

Use slope-intercept form $y=mx+b$.
$y=-2x+18$

Answer:

Correct line of fit: top-left plot
Equation: $y=-2x+18$