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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)/(5) + y/(2)` = 1
Solution
`(2x)/(5) + y/(2)` = 1
⇒ `y/(2) = 1 - (2x)/(5)`
⇒ `y/(2) = (5 - 2x)/(5)`
⇒ y = `(10 - 4x)/(5)`
When x = 0, y = `(10 - 4(0))/(5)` = 2
When x = 5, y = `(10 - 4(5))/(5)` = -2
When x = `(5)/(2), y = (10 - 4(5/2))/(5)` = 0
| x | 0 | 5 | `(5)/(2)` |
| y | 2 | -2 | 0 |
Plotting the points (0, 2), (5, -2) and `(5/2 , 0)`, we get a line segment as shown in the figure.
The line meets the x-axis at `(5/2, 0)` and y-axis at (0, 2).
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