Respuesta :

The distance between the two given points is as follows: (4, 1)

The distance between the points ( -8, -9), and (-4, -10) is √ 15 units.

What is the distance between two points ( p,q) and (x,y)?

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]   units.

Given the points  ( -8, -9), and (-4, -10)

Finding the distance between the points ( -8, -9), and (-4, -10)

(x₁, y₁) =( -8, -9)

(x₂, y₂) = (-4, -10)

The distance will be;

D = √[(x-p)² + (y-q)²]   units.

Substittue;

D = √[(-4- (-8))² + (-10 -(-9))²]   units.

D = √[(4)² + (1)²]   units.

D = √[16+ 1]   units.

D = √ 15

 

Thus, the distance between the points ( -8, -9), and (-4, -10) is √ 15 units.

Learn more about distance between two points here:

brainly.com/question/16410393

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