Question

Draw the graph of the equation x + 2y = 4. Find the area of the triangle formed by the line intersecting to X-axis and Y-axis.

Answer 1

x	0	2	4
y	2	1	0
(x, y)	(0, 2)	(2, 1)	(4, 0)

0 + 2y = 4

y = 2

2 + 2y = 4

2y = 4 – 2

y = `2/2`

y = 1

Area of ΔAOB = `1/2 xx b xx h`

= `1/2 xx 4 xx 2`

= 4 sq.unit