Find the distance between the following pair of points:$(-6, 7)$ and $(-1, -5)$

Given:

The given pair of points is $(-6, 7)$ and $(-1, -5)$.

To do:

We have to find the distance between the given pair of points.

Solution:

We know that,

The distance between two points \( \mathrm{A}\left(x_{1}, y_{1}\right) \) and \( \mathrm{B}\left(x_{2}, y_{2}\right) \) is \( \sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \)

Therefore,

The distance between the points $(-6,7)$ and $(-1,-5)$\( =\sqrt{[-1-(-6)]^{2}+(-5-7)^{2}} \)

\( =\sqrt{(-1+6)^{2}+(-5-7)^{2}} \)

\( =\sqrt{(5)^{2}+(-12)^{2}} \)

\( =\sqrt{25+144} \)

\( =\sqrt{169} \)

\( =13 \)

The distance between the given pair of points is $13$ units.

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Updated on: 10-Oct-2022

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