Question

the scatter plot above shows the number of pages read compared to the number of hours read. which linear equation below supports the best fit line on the scatter plot above?
a ( y = 20x )
b ( y = 2x )
c ( y = x + 20 )
d ( y = 20x + 20 )

Explanation:

Step1: Find the slope

Take two points on the line, say \((1,20)\) and \((2,40)\).
Slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{40 - 20}{2 - 1}=20\)

Step2: Find the y - intercept

The line passes through \((0,0)\) (when \(x = 0\), \(y=0\)), so the y - intercept \(b = 0\)

Step3: Write the equation

Using the slope - intercept form \(y=mx + b\), with \(m = 20\) and \(b = 0\), we get \(y = 20x\)

Answer:

A. \(y = 20x\)