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 (x_{1} y_{1})(0,2) respectively and (x_{2} y_{2})(2,0) respectively
Gradient (m) of the line = (y_{2} – y_{1}) / (x_{2} – x_{1}) = (0-6) / (2-0) = ^{-6}/_{2}
= -3
Equation of the line y-y_{1} = m(x-x_{1})
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