Answer: The correct option is
(C) The y-intercepts are the same, but the rates of change are different.
Step-by-step explanation: We are given to compare the y-intercepts and the rates of change of the given items.
For item I :
The given equation of the line is in slope-intercept for, as follows :
[tex]y=2x-4.[/tex]
So, the y-intercept of the line is -4 and the rate of change is given by the slope of the line, i.e., 2.
For item II :
We see that
at x = 0, the value of y is -4. So, the y-intercept of the linear function (a line) is -4.
Now, (-4, -6) and (-2, -5) are two points on the line, so the rate of change will be
[tex]R=\dfrac{-5-(-6)}{-2-(-4)}=\dfrac{1}{2}.[/tex]
Therefore, the y-intercepts are same but rate of changes are different.
Thus, (C) is the correct option.
