What is the slope of the line passing through the following points: # (-3/4 , 2/3) , (-1/3, 3/5)?

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What is the slope of the line passing through the following points: # (-3/4 , 2/3) , (-1/3, 3/5)?

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Answer 1 · 2016-07-09T14:10:11

Slope $m = - \frac{4}{25}$ $m=-4/25$

Explanation:

From the given points

Let $(x_{2}, y_{2}) = (- \frac{1}{3}, \frac{3}{5})$ $(x_2, y_2)=(-1/3, 3/5)$
Let $(x_{1}, y_{1}) = (- \frac{3}{4}, \frac{2}{3})$ $(x_1, y_1)=(-3/4, 2/3)$

Slope $m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{\frac{3}{5} - \frac{2}{3}}{\frac{- 1}{3} - \frac{- 3}{4}} = \frac{\frac{9 - 10}{15}}{\frac{- 4 + 9}{12}}$ $m=(y_2-y_1)/(x_2-x_1)=(3/5-2/3)/((-1)/3-(-3)/4)=((9-10)/15)/((-4+9)/12)$
Slope $m = (- \frac{1}{15}) \cdot (\frac{12}{5}) = - \frac{4}{25}$ $m=(-1/15)*(12/5)=-4/25$

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What is the slope of the line passing through the following points: # (-3/4 , 2/3) , (-1/3, 3/5)?

1 Answer

Explanation:

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