Question

find the distance between the following points A (-6,-4) B (9,-12) ​

Answer 1

We know that,

Distance between two points

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

Given:-

A(-6,-4)

x1=-6,y1=-4

B(9,-12)

x2=9,y2=-12

Hence,

$\sqrt{(( 9) - ( - 6)) {}^{2} +(( - 12) - ( - 4)) {}^{2} } \\ = \sqrt{ {15}^{2} + ( - 8) {}^{2} } \\ = \sqrt{225 - 64} \\ = \sqrt{161} \: units$

Distance

Answer 2

Refers to attachment ♡♡~