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Determine graphically, the coordinates of vertices of a triangle whose equations are $2x-3y+6=0$; $2x+3y-18=0$ and $x = 0$. Also, find the area of this triangle.
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Correct graph of the line $2x - 3y + 6 = 0$ (1 Mark)
Correct graph of the line $2x + 3y - 18 = 0$ (1 Mark)
Correct graph of the line $x = 0$ (1/2 Mark)
Coordinates of vertices of the triangle are $A(0,2)$, $B(3,4)$ and $C(0,6)$ (1.5 Marks)
Area of $\triangle ABC = \frac{1}{2} \times 4 \times 3 = 6$ sq. units (1 Mark)
Correct graph of the line $2x + 3y - 18 = 0$ (1 Mark)
Correct graph of the line $x = 0$ (1/2 Mark)
Coordinates of vertices of the triangle are $A(0,2)$, $B(3,4)$ and $C(0,6)$ (1.5 Marks)
Area of $\triangle ABC = \frac{1}{2} \times 4 \times 3 = 6$ sq. units (1 Mark)