Question

What is the distance between (-5,-6),(-9,-4)

Answer 1

The distance between
`(-5,-6),(-9,-4)` is
`6 units`.

Explanation:

Distance Formula :

`\sqrt{(x_(2)^(2) -x_(1)^(2)) +( y_(2)^(2) -y_(1)^(2))}`

Given,

The two points are

`(-5,-6),(-9,-4)`

To calculate the distance between two points, use the distance formula.

`\sqrt{(x_(2)^(2) -x_(1)^(2)) +( y_(2)^(2) -y_(1)^(2))}`

Substitute the actual values of the points into the distance formula.

Distance
`=\sqrt{((-9)^(2) -(-5)^(2)) +( (-4)^(2) -(-6)^(2))}`

`=√((81-25)+(16-36))`

`=√(36)`

`=6`