The shaded area in the diagram above is represe... - JAMB Mathematics 2004 Question

The shaded area in the diagram above is represented by

{(x,y) : y - 3x < -6}

{(x,y) : y + 3x < 6}

{(x,y) : y + 3x < -6}

{(x,y) : y - 3x < 6}

correct option: b

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

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