Question.
Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Draw the graphs of the equations x – y + 1 = 0 and 3x + 2y – 12 = 0. Determine the coordinates of the vertices of the triangle formed by these lines and the x-axis, and shade the triangular region.
Solution:
x – y + 1 = 0 ...(i)
3x + 2y – 12 = 0 ...(ii)
The vertices of the triangle are
A (2, 3), B (–1, 0) and C (4, 0)
x – y + 1 = 0 ...(i)
3x + 2y – 12 = 0 ...(ii)
The vertices of the triangle are
A (2, 3), B (–1, 0) and C (4, 0)