Draw the graph of the equation $\frac{x}{3} + \frac{y}{4} = 1$ . Also, find the area of the triangle formed by the line and the coordinates axes.

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Solution

We are given,

We get,

Now, substituting in ,we get

Substituting in ,we get

Thus, we have the following table exhibiting the abscissa and ordinates of points on the line represented by the given equation

x

0

3

y

4

0

The region bounded by the graph is ABC which form a traingle.

AC at y axis is the base of traingle having AC = 4 units on y axis.

BC at x axis is the height of traingle having BC = 3 units on x axis.

Therefore,

Area of traingle ABC,say A is given by

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