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 $-4$

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

$color(red)(a=(y_2-y_1)/(x_2-x_1))$

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

$color(red)(a=(y_2-y_1)/(x_2-x_1))$

$a=(2-6)/(4-3)$

$a=-4/1$

$a=-4$