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 balances points above and below, matching the trend of the original data.

Step2: Pick two points on the line

Select points $(x_1,y_1)=(0,18)$ and $(x_2,y_2)=(9,0)$ on the line.

Step3: Calculate slope $m$

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

Step4: Find y-intercept $b$

The line crosses 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 scatter plot
Equation of the line: $y=-2x+18$