Which of the following could be the inequality illustrated in the sketch graph above?
-
A.
y≥2x+3 -
B.
y≤-3x+3 -
C.
y -
D.
y≤x +3 -
E.
y≥3x+2.
Correct Answer: Option B
Explanation
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.