Question

determine graphically the coordinates of the vertices of a triangle , the equation of whose sides are
y=x
3y = x and
x+y =8

Answer 1

Please Watch for pics. I've tried to solve it.

Answer 2

Given that : Sides of a triangle are defined by the equations

$y=x$

$3y=x$

$x+y=0$

We need to find vertices of the triangle graphically.

For $y=x$,

x :     0     1

y :     0     1

Plot (0,0) and (1,1) on the coordinate plane and connect them by a straight line.

For $3y=x$,

x :     0     3

y :     0     1

Plot (0,0) and (3,1) on the coordinate plane and connect them by a straight line.

For $x+y=8$,

x :     0     8

y :     8     0

Plot (0,8) and (8,0) on the coordinate plane and connect them by a straight line.

From the graph it is clear that the vertices of triangle are (0,0), (4,4) and (6,2).