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Question
Draw a graph of each of the following equations: 3x - 2y = 6
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Solution
3x - 2y = 6
⇒ 2y = 3x - 6
⇒ y = `(3x - 6)/(2)`
when x = 2, y = `(3(2) - 6)/(2)` = 0
when x = 4, y = `(3(4) - 6)/(2)` = 3
when x = 2, y = y = `(3(-2) - 6)/(2)` = -6
| x | 2 | 4 | -2 |
| y | 0 | 3 | -6 |
Plotting the point (2, 0), (4, 3) and (-2, -6), we get a line AB as shown in the figure.
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