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Question
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.
Sum
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Solution
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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