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Question

Do you think the points (3,5),(6,8) and (10,12) are straight line? Given reasons for your answer.

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Solution

If the points (3,5),(6,8) and (10,12) lie on a straight line then the slope of line joining the points (3,5) and (6,8) will be equal to the slope of line joining the pounts (6,8) and (10,12).
Therefore,
Slope of line joining the points (3,5) and (6,8)=8563=33=1
Slope of line joining the points (6,8) and (10,12)=128106=44=1
Since two intersecting lines cannot have same slope, thus the given points are straight line.

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