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Question
Use the graphical method to find the value of k, if:
(5, k - 2) lies on the straight line x - 2y + 1 = 0
Solution
x - 2y + 1 = 0
⇒ 2y = x + 1
⇒ y = `(x + 1)/(2)`
The table for x - 2y + 1 = 0 is
| X | 1 | 3 | 5 |
| Y | 1 | 2 | 3 |
Plotting the above points in a graph, we get the following graph:
From the above graph, it is clear that
k - 2 = 3
⇒ k = 5.
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