Which of the following could be the inequality illustrated in the sketch graph above?
Attached Figure / Diagram
A
y≥2x+3
B
y≤-3x+3
C
y < 3x+2
D
y≤x +3
E
y≥3x+2.
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Gradient of the line = \(\frac{3 - 0}{0 - 1}\)
= -3
y = -3x + b.
Using (1,0), we have
0 = -3(1) + b
0 = -3 + b
b = 3
y = -3x + 3
\(\therefore\) The graph illustrates y \(\leq\) -3x + 3.
Source: Myschool Past Questions Archive (Record #23705)