Draw the graphs of the linear equations 4 x -3 y +4=0 and 4 x +3 y -20=0. Find the area bounded by these lines and x -axis.

Question

Philoid · Accepted Answer

4x-3y+4=0 passes through (-1, 0) and (0, 4/3)

4x + 3y – 20 = 0 passes through (5, 0) and (0, 20/3)

Coordinates of the vertices of triangle with x-axis, (-1, 0), (5, 0) and (2, 4)

Height of the triangle = 4

Base of the triangle = 5 + 1 = 6

Area of the triangle = 1/2 × 4 × 6 = 12 sq. unit