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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 steeper slope, AB or AC?

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

Straight Line Eq

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Answer

From graph,

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 steeper slope, AB or AC? Justify your conclusion by calculating the slopes of AB and AC. Equation of a Line, Concise Mathematics Solutions ICSE Class 10.

AC appears to be steeper.

Slope of AB =7−14−1=63=2.Slope of AC =10−14−1=93=3.\text{Slope of AB } = \dfrac{7 - 1}{4 - 1} \\[1em] = \dfrac{6}{3} = 2. \\[1em] \text{Slope of AC } = \dfrac{10 - 1}{4 - 1} \\[1em] = \dfrac{9}{3} = 3.

Since, AC has greater slope.

Hence, proved AC has steeper slope.

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