What is the slope of the line passing through the following points: $(5,3) , (–5, 5)$ ?

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Answer 1 · 2018-05-29T16:54:48

$=>-1/5$

Slope in two dimensions is defined as the relative change in one dimension compared to the change in the other dimension.

Specifically for 2D Cartesian coordinates, we define slope $m$ as:

$m = {Delta y}/ {Delta x}={y_2-y_1}/{x_2-x_1}$

given two points $"P"_1(x_1,y_1)$ and $"P"_2(x_2,y_2)$ .

In this problem we are given $"P"_1 = (5,3)$ and $"P"_2 = (-5,5)$

$m = (5-3)/(-5-5)=2/(-10) = -1/5$

Answer 2 · 2018-05-29T17:02:02

$m=-1/5$

After the formula
$m=(y_2-y_1)/(x_2-x_1)$

we get
$m=(5-3)/(-5-5)=-2/10=-1/5$

What is the slope of the line passing through the following points: (5,3) , (–5, 5) (5,3) , (–5, 5) ?