Question

Draw the graphs of x - y + 1 = 0 and 3x + 2y - 12 = 0.

Determine the coordinates of the vertices of the triangle formed by these lines and x - axis and shade the triangular area.

Calculate the area bounded by these lines and x - axis.

Answer 1

x - y + 1 = 0 and 3x + 2y - 12 = 0

Coordinates of the vertices of triangle formed with x - axis

(2, 3), (-1, 0) and (4, 0)

Height of the triangle = 3 units

Base of the triangle = 5 units

Area = 0.5 × base × height = 7.5 sq units