Question

Find the distance between (-5, -8) and (-1, -16).

Answer 1

To calculate the distance between two points, you have to use the distance formula.

point 1 is (-5, -8) and point 2 is (-1, -16). The x coordinate is before the comma and the y coordinate is after the comma.

The distance formula is:

Distance = $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2} }$

Insert your coordinates into the formula.

$\sqrt{((-1) - (-5))^{2} + ((-16) - (-8))^{2} }$

Combine your terms.

$\sqrt{(4)^2 + (-8)^2}$

Square your numbers.

$\sqrt{16 + 64}$

Add these terms together.

Your answer is $\sqrt{80}$ or 8.94

Answer 2

Answer:

d = 8.944

Step-by-step explanation:

The distance between two points

d = √(x2 - x1)^2 + ( y2 - y1)^2

d - distance

( x1 , x2) -first point

( y1 , y2) -second point

( -5 , -8) ( -1 , -16)

x1 = -5

y1 = -8

x2 = -1

y2 = -16

d = √( -1 - (-5)^2 + ( -16 - (-8)^2

= √( -1 + 5)^2 + ( -16 + 8)^2

= √ 4^2 + (-8)^2

= √ 16 + 64

= √ 80

= 8.944