Draw the graphs of the equations 5 x - y = 5 and 3 x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.

Question

Philoid · Accepted Answer

5x - y = 5 Or,

y = 5x - 5

The solution table will be as follows.

x	0	1	2
y	-5	0	5
3x - y = 3 or, y = 3x – 3
The solution table will be as follows.
x	0	1	2
y	-3	0	3

The graphical representation of these lines will be as follows.

It can be observed that the required triangle is ΔABC formed by these lines and y-axis. The coordinates of vertices are A (1, 0), B (0, - 3), C (0, - 5).

Draw the graphs of the equations 5x - y = 5 and 3x - y = 3. Determine the co-ordinates of the vertices of the triangle formed by these lines and the y axis.