Question

waylan created a scatter plot and drew a line of best fit, as shown.what is the equation of the line of best fit that waylan drew?a. $y = \frac{4}{3}x + 5$b. $y = \frac{4}{3}x + 8$c. $y = \frac{3}{4}x + 5$d. $y = \frac{3}{4}x + 8$

Explanation:

Step1: Identify y-intercept

The line crosses the y-axis at $(0, 5)$, so $b=5$.

Step2: Calculate slope

Use two points on the line, e.g., $(0,5)$ and $(3,9)$.
Slope $m=\frac{9-5}{3-0}=\frac{4}{3}$

Step3: Write line equation

Use slope-intercept form $y=mx+b$.
$y=\frac{4}{3}x+5$

Answer:

A. $y = \frac{4}{3}x + 5$