Question

Find the distance between points ( -8, -2 ) and ( -2, -10 )

Answer 1

Answer:

The distance between points ( -8, -2 ) and ( -2, -10 ) is 10

Step-by-step explanation:

Distance between Two Points

Given two points X(a,b) and Y(c,d), the distance between both points is given by:

$d=\sqrt{(c-a)^2+(d-b)^2}$

The points provided are (-8,-2) and (-2,-10), thus:

$d=\sqrt{(-2-(-8))^2+(-10-(-2))^2}$

$d=\sqrt{(-2+8)^2+(-10+2)^2}$

$d=\sqrt{6^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10$

The distance between points ( -8, -2 ) and ( -2, -10 ) is 10