Question

Determine graphically the coordinates of the vertices of a triangle, the equations of whose sides are :

y = x, y = 2x and y + x = 6

Answer 1

The given equations are 

y = x  ........(i)

y = 2x .......(ii)

y + x = 6 ......(iii)

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

x	0	1
y	0	1

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

x	1	3
y	2	6

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

x	0	6
y	6	6

Now, the 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 A(0,0), B(2,4), C(3,3)