Question

estimate the line of best fit using two points on the line.

a. ( y = - 5x + 16 )
b. ( y = - 8x + 16 )
c. ( y = 5x + 20 )
d. ( y = 8x + 20 )

Explanation:

Step1: Calculate the slope \(m\)

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(3,44)\) and \((x_2,y_2)=(5,60)\).

$$m=\frac{60 - 44}{5 - 3}=\frac{16}{2}=8$$

Step2: Use the point - slope form \(y - y_1=m(x - x_1)\)

Using \(m = 8\) and the point \((3,44)\), \(y-44=8(x - 3)\)
Expand: \(y-44=8x-24\)
Add 44 to both sides: \(y=8x + 20\)

Answer:

D. \(y = 8x+20\)