Question

which of the following equations best represents this line of best fit?
a ( y = 1.48x )
b ( y = 10.77 - 1.48x )
c ( y = 10.77 )
d ( y = -10.77x )

Explanation:

Step1: Analyze the slope

The line is decreasing, so the slope \(m\) is negative.
For a linear equation \(y = mx + b\), options A (\(y = 1.48x\), \(m=1.48>0\)) and C (\(y = 10.77\), \(m = 0\)) and D (\(y=-10.77x\), the slope is too steep) can be eliminated.
For option B \(y=10.77 - 1.48x\), it is in the form \(y=mx + b\) (\(m=- 1.48<0\), \(b = 10.77\)) which is consistent with a decreasing line (negative slope) and a \(y\) - intercept.

Answer:

B. \(y = 10.77-1.48x\)