Draw the graph of 3x - 2y + 6=0 and x +2y -6 =0 in a graph paper and find the area is the triangle formed by these two lines and the x-axis

Given lines are:

3x - 2y + 6=0 and x +2y -6 =0.

Firstly, consider the line 3x - 2y + 6 = 0

The solution for the given line is:

x0-2
y30

Now. plot the points (0,3) and (-2,0) on the graph as shown below. 

Now, line x +2y -6 =0

The solution for the given line is:

x0-6
y30

Now. plot the points (0,3) and (-6,0) on the graph as shown below. 

Area of triangle =  

 =   

= 12 (unit)2

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