Question

select the correct answer.
lionel created a scatter plot and drew a line of best fit, as shown.
what is the equation of the line of best fit that lionel drew?
$y = -2x + 8$
$y = -2x + 16$
$y = -\frac{1}{2}x + 8$
$y = -\frac{1}{2}x + 16$

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 16)$, so $b=16$.

Step2: Calculate slope

Use two points on the line: $(0,16)$ and $(8,0)$.
Slope formula: $m=\frac{y_2-y_1}{x_2-x_1}$
$m=\frac{0-16}{8-0}=\frac{-16}{8}=-2$

Step3: Write line equation

Slope-intercept form: $y=mx+b$
Substitute $m=-2$ and $b=16$.

Answer:

$y = -2x + 16$