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Question

The path of a train A is given by the equation 3x + 4y - 12 = 0 and the path of another train B is given by the equation 6x + 8y - 48 = 0. Represent this situation graphically.

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Solution

Path of the train A3x+4y12=0Path of the train B6x+8y48=0Now,3x+4y12=0 3x=124y x=124y3If y=0, thenx=124×03=1203=123=4If y=3, thenx=124×33=12123=03=0x40y03

Now plot the points (4, 0) and (0, 3) on the graph and join them to get a line.

Now, 6x+8y48=06x=488y

x=488y6If y=6, then x=488×66=48486=06=0If y=3, then x=488×36=48246=246=4x04y63

Now plot the points (0, 6) and (4, 3) on the graph and join them to get another linc.


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