NOTE: Not drawn to scale

A line through points \(A\) and \(B\) in a coordinate system is graphed by \(y = -0.5x + 2\) as shown above. Which of the following equations will yield the graph of a line through points \(C\) and \(D\) such that the area of triangle \(COD\) will be half the area of triangle \(AOB?\)

I. \(y = -0.25x + 1\)
II. \(y = -0.25x + 2\)
III. \(y = -x + 2\)

A. I only
B. II only
C. III only
D. I and III only
E. II and III only

Answer: D

Source: Veritas Prep