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Question:

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.

Solution:

For the equation 3x-y=3, y=3x-3
If x=0, y=-3
For x=1, y=0
For x=2, y=3
x | 0 | 1 | 2
y | -3 | 0 | 3
For the equation 5x-y=5 => y=5x-5
If x=0, y=-5
For x=1, y=0
For x=2, y=5
x | 0 | 1 | 2
y | -5 | 0 | 5
Plotting the equations on the graph, we get ΔACE with A(1,0), C(0,-3), and E(0,-5)