Question

Find The distance between the following pairs of point. (-5,7) , (-1,3)​

Answer 1

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Answer 2

To find the distance between two points we use the equation

$\sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} }$

Putting the values:-

$\sqrt{( - 1 - ( - 5) ) {}^{2} + (3 - 7) {}^{2} }$

$= \sqrt{( - 1 + 5) {}^{2} + ( - 4) {}^{2} }$

$= \sqrt{(4) {}^{2} + ( - 4) {}^{2} }$

$= \sqrt{16 + 16}$

$= \sqrt{32}$

$= \sqrt{16 \times 2}$

$= \sqrt{16} \times \sqrt{2}$

$= 4 \times \sqrt{2}$

$=4 \sqrt{2}$

Hence, the distance between the points (-5,7) and (-1,3) is 4√2