draw the graph of the equation x/3 + y/4 = 1. also find the area of the triangle formed by the two triangles formed by the line and the coordinate axes. find the area of shaded region.

Given equation is

⇒ 4*x* + 3*y* = 12

Now, we have to find three solutions of the equation to plot the graph.

We can rewrite the given equation as

On putting

*x* = 0, we obtain *y* = 4

*y* = 0, we obtain *x* = 3

*y* = 1, we obtain *x* = 2.25

These solution can be represented in tabular form as follows:

x | 0 | 3 | 2.25 |

y | 4 | 0 | 1 |

Now by ploting the points (0, 4), (3, 0) and (2.25, 1),

we obtain the following graph.

The Area of shaded region = Area of ∆ABC

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