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Question
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
3x + 4y = 24
`x/(4) + y/(3) = 1`
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Solution
To draw the graph of 3x + 4y = 24 and `x/(4) + y/(3) = 1` follows the steps:
First prepare a table as below
| X | -1 | 0 | 1 |
| Y = `-(3)/(4) xx + 6` | `(27)/(4)` | 6 | `(21)/(4)` |
| Y = `-(3)/(4) xx + 3` | `(15)/(4)` | 3 | `(9)/(4)` |
Now sketch the graph as shown:
From the graph it can verify that the lines are parallel.
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