What is the slope of the line through (3, 6) and (4, 2)?

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What is the slope of the line through (3, 6) and (4, 2)?

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Answer 1 · 2016-10-28T17:52:39

The slope is $- 4$ $-4$

Explanation:

The slope $a$ $color(red)a$ of a straight line passing through the points $(x_{1}, y_{1}) and (x_{2}, y_{2})$ $(x_1,y_1) and (x_2,y_2)$ is determined by using the definition

$a = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $color(red)(a=(y_2-y_1)/(x_2-x_1))$

So the slope of the line passing through $(3, 6) and (4, 2)$ $(3,6) and (4,2)$ is

$a = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $color(red)(a=(y_2-y_1)/(x_2-x_1))$

$a = \frac{2 - 6}{4 - 3}$ $a=(2-6)/(4-3)$

$a = - \frac{4}{1}$ $a=-4/1$

$a = - 4$ $a=-4$

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What is the slope of the line through (3, 6) and (4, 2)?

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