The shaded region above is represented by
the equation
Attached Figure / Diagram
A
y ≤ 4x + 2
B
y ≥ 4x + 2
C
y ≤ -4x + 4
D
y ≤ 4x + 4
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
Equation of the line
\(\frac{y - 4}{x - 0} = \frac{0 - 4}{1 - 0}\)
\(\frac{y - 4}{x} = \frac{-4}{1}\)
\(\therefore -4x = y - 4\)
\(y = -4x + 4\)
\(\therefore \text{The shaded portion = } y \leq -4x + 4\)
Source: Myschool Past Questions Archive (Record #33162)