Which of the following could be the inequality illustrated in the sketch graph above?
Attached Figure / Diagram
A
y ≤ -3x + 3
B
y ≤ 3x + 2
C
y ≥ -2x + 3
D
y ≤ x + 3
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
The gradient of the line passing through points (0,3) and (1,0)
m = \(\frac{y_2 - y_1}{x_2 - x_1}\)
m = \(\frac{0 - 3}{1 - 0}\) = \(\frac{-3}{1}\) = - 3
Equation of this line ⇒ y = mx + c
y = -3x + 3;
since the line is solid; The equation represented by the graph is y \le -3x + 3
Source: Myschool Past Questions Archive (Record #75829)