Question

math - part 1
16 of 22
which of the following equations is the most appropriate linear model for the data shown in the scatterplot?
a ( y = - 2 x - 5 )
b ( y = - 2 x + 5 )
c ( y = 2 x - 5 )
d

Explanation:

Step1: Determine the slope sign

As \(x\) increases, \(y\) decreases. So the slope \(m\) of the linear model is negative.
For a linear equation \(y = mx + b\), options C (\(y=2x - 5\), \(m = 2>0\)) and D (\(y = 2x+5\), \(m=2>0\)) can be eliminated.

Step2: Estimate the \(y -\)intercept

When \(x = 0\), from the scatter - plot, \(y\approx - 5\).
For option B: \(y=-2x + 5\), when \(x = 0\), \(y = 5\).
For option A: \(y=-2x-5\), when \(x = 0\), \(y=-5\).

Answer:

A. \(y=-2x - 5\)