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Question
Draw the graph (straight line) given by equation x - 3y = 18. If the straight line is drawn passes through the points (m, - 5) and (6, n); find the values of m and n.
Solution
Consider the equation
x - 3y = 18
⇒ - 3y = 18 - x
⇒ 3y = x - 18
⇒ y = `(x - 18)/(3)`
The table for x - 3y = 18 is
| X | 9 | 0 | 6 | 3 |
| Y | - 3 | - 6 | - 4 | - 5 |
Plotting the above points, we get the following required graph:
From the above figure, we have m = 3 and n = - 4.
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