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.
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).
