मराठी

Plot the points A(1, 1), B(4, 7) and C(4, 10) on a graph paper. Connect A and B and also A and C. Which segment appears to have the steeper slope, AB or AC? - Mathematics

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प्रश्न

Plot the points A(1, 1), B(4, 7) and C(4, 10) on a graph paper. Connect A and B and also A and C.

Which segment appears to have the steeper slope, AB or AC?

Justify your conclusion by calculating the slopes of AB and AC.

बेरीज
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उत्तर


From the graph, clearly, AC has steeper slope.

Slope of AB = `(7 - 1)/(4 - 1) = 6/3 = 2`

Slope of AC = `(10 - 1)/(4 - 1) = 9/3 = 3`

The line with greater slope is steeper.

Hence, AC has steeper slope.

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