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Question
Draw a graph of each of the following equations: 5x + 2y = 16
Solution
5x + 2y = 16
⇒ 2y = 16 - 5x
⇒ y = `(16 - 5x)/(2)`
When x = 2, y = `(16 - 5(2))/(2)` = 3
When x = 4, y = `(16 - 5(4))/(2)` = -2
When x = 6, y = `(16 - 5(6))/(2)` = -7
| x | 2 | 4 | 6 |
| y | 3 | -2 | -7 |
Plotting the points (2, 3), (4, -2) and (6, -7), we get a line AB as shown in the figure.
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