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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:
`(3x + 14)/(2) = (y - 10)/(5)`
Solution
`(3x + 14)/(2) = (y - 10)/(5)`
⇒ 15x + 70 = 2y - 20
⇒ 15x - 2y = -90
⇒ 2y = 90 + 15x
⇒ y = `(90 + 15x)/(2)`
Corresponding values of x and y can be tabulated as follows :
| X | -5 | -2 | -1 |
| Y | 7.5 | 30 | 37.5 |
Plotting the points (-5, 7.5), (-2, 30) and (-1, 37.5),
we get the following graph :
Thus, the graph of the equation meets the X-axis at (-6, 0) and Y-axis at (0, 45).
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