Determine the co-ordinate of the vertices of the triangle formed by these lines and the y- axis.

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5x - y =5

= y = 5x - 5

Three solutions of this equation can be written in a table 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.

variable

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).

 

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