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Question
Draw a graph of each of the following equations: x + 6y = 15
Graph
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Solution
x + 6y = 15
⇒ x = 15 - 6y
When y = 1, x = 15 - 6(1) = 9
When y =2, x = 15 - 6(2) = 3
When y = 3, x = 15 - 6(3) = -3
| x | 9 | 3 | -3 |
| y | 1 | 2 | 3 |
Plotting the points (9, 1), (3, 2) and (-3, 3), we get the line segment as shown in the figure.
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Graphs of Linear Equations
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