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
x - y + 1 = 0
x = y - 1
| x | 0 | 1 | 2 |
| y | 1 | 2 | 3 |
3x + 2y - 12 = 0
x = 12 - 2y/3
| x | 4 | 2 | 0 |
| y | 0 | 3 | 6 |
Graphical representation
From the figure, it can be observed that these lines are intersecting each other at point (2, 3) and x-axis at ( - 1, 0) and (4, 0). Therefore, the vertices of the triangle are (2, 3), ( - 1, 0), and (4, 0).
