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Question
Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: 2x + 3y = 12
Solution
2x + 3y = 12
⇒ 3y = 12 - 2x
⇒ y = `4 - (2)/(3) x`
When x = 3, y = `4 - (2)/(3)(3)` = 2
When x = -3, y = `4 - (2)/(3)(-3)` = 6
When x = 6, y = `4 - (2)/(3)(6)` = 0
| x | 3 | -3 | 6 |
| y | 2 | 6 | 0 |
Plotting the points (3, 2), (-3, 6) and (6, 0), we get a line segment as shown in the figure.
The line meets the x-axis at (6, 0) and y-axis at (0, 4).
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