The shaded area in the diagram above is represented by
-
A.
{(x,y) : y – 3x -
B.
{(x,y) : y + 3x -
C.
{(x,y) : y + 3x -
D.
{(x,y) : y – 3x
Correct Answer: Option B
Explanation
Coordinates of the line are (x1 y1)(0,2) respectively and (x2 y2)(2,0) respectively
Gradient (m) of the line = (y2 – y1) / (x2 – x1) = (0-6) / (2-0) = -6/2
= -3
Equation of the line y-y1 = m(x-x1)
y – 6 = -3(x – 0)
y – 6 = -3x
y + 3x = 6
inequality; from the y axis, the shaded region is below the line
∴ y + 3x ∠ 6 and line is a broken line