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
⇒ 4x + 3y = 12
Now, we have to find three solutions of the equation to plot the graph.
We can rewrite the given equation as
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:
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