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Question
A spring was hung from a hook in the ceiling. A number of different weights were attached to the spring to make it stretch, and the total length of the spring was measured each time is shown in the following table
| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
Draw a graph showing the results.
Solution
Taking weight (kg) as x values and length (cm) as y values we get (x1, y1) = (2, 3), (x2, y2) = (4, 4)
The equation of the line passing through the above two points is
`(y - y_1)/(y_2 - y_1) = (x - x_1)/(_2- x1)`
(i.e) `(y - 3)/(4 - 3) = (x - 2)/(4 - 2)`
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| Weight (kg) | 2 | 4 | 5 | 8 |
| Length (cm) | 3 | 4 | 4.5 | 6 |
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