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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.
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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