Question

Draw the graphs of the following equations:

2x − 3y + 6 = 0
2x + 3y − 18 = 0
y − 2 = 0

Find the vertices of the triangle so obtained. Also, find the area of the triangle.

Answer 1

The given equations are

_{The two points satisfying (i) can be listed in a table as,}

	−3	6
	0	6

The two points satisfying (ii) can be listed in a table as,

	0	9
	6	0

The two points satisfying (iii) can be listed in a table as,

	−1	8
	2	2

Now, graph of equations (i), (ii) and (iii) can be drawn as,

It is seen that the coordinates of the vertices of the obtained triangle are

_{∴Area of ΔABC =}