Question

Find the distance between (-5,7)and (-1,3)

Answer 1

Answer:

$4 \sqrt{2}$

Step-by-step explanation:

Let the points be A and B

A ( - 5 , 7 ) → ( x1 , y1 )

B ( -1 , 3 ) → ( x2 , y2 )

Now, let's find the distance between these points:

$\sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} }$

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

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

$= \sqrt{ {4}^{2} + 16}$

$= \sqrt{16 + 16}$

$= \sqrt{32}$

$= 4 \sqrt{2}$

Hope this helps..

Good luck on your assignment!