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.

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Solution

From the graph, clearly, AC has a steeper slope.

The slope of AB = $fraction numerator 7 minus 1 over denominator 4 minus 1 end fraction equals 2$

The slope of AC = $fraction numerator 10 minus 1 over denominator 4 minus 1 end fraction equals 3$

The line with greater slope is steeper. Hence, AC has steeper slope

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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.

From the graph, clearly, AC has a steeper slope. The slope of AB = The slope of AC = The line with greater slope is steeper. Hence, AC has steeper slope

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.