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Question
Draw the graph for each of the following equation: Also, find the coordinates of the points where the graph of the equation meets the coordinate axes:
`(1)/(2) x + (1)/(3) y` = 1
Solution
Given, `(1)/(2) x + (1)/(3) y` = 1
⇒ 3x + 2y = 6
⇒ 2y = 6 - 3x
⇒ y = `(6 - 3x)/(2)`
Corresponding values of x and y can be tabulated as follows :
| X | 0 | 1 | -1 |
| Y | 3 | 1.5 | 4.5 |
Plotting the points (0, 3), (1, 1.5) and (-1, 4.5),
we get the following graph :
Thus, the graph of the equation meets the X-axis at (2, 0) and Y-axis at (0, 3).
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