Determine graphically, the vertices of the triangle, the equations of whosesides are given below:
2x – y + 1 = 0, x – 5y + 14 = 0 and x – 2y + 8 = 0.

Question

Determine graphically, the vertices of the triangle, the equations of whosesides are given below:2x – y + 1 = 0, x – 5y + 14 = 0 and x – 2y + 8 = 0.

Philoid · Accepted Answer

2x – y + 1 = 0
y = 2x + 1

x	0	1	2
y = 2x + 1	1	3	5

x – 5y + 14 = 0

⇒ 5y = x + 14

∴ y =

X	1	-4	6
y =	3	2	4

x – 2y + 8 = 0

⇒ 2y = x + 8

∴ y =

X	0	2	- 2
y =	4	5	3

The vertices of the triangle formed by the three lines are (2, 5), (1, 3) and (- 4, 2).