Question

a line of best fit was drawn to the plotted points in a data set below. based on the line of best fit, for what y - value does $x = 16$?

Explanation:

Step1: Find slope of the line

Use two points e.g., $(0,4)$ and $(2,5)$:
$$m=\frac{5-4}{2-0}=\frac{1}{2}$$

Step2: Write line equation

Y-intercept $b=4$, so:
$$y=\frac{1}{2}x + 4$$

Step3: Substitute $x=16$

Calculate y-value:
$$y=\frac{1}{2}(16) + 4 = 8 + 4$$

Answer:

12