Question

What is the distance between (-6,4) and (-8,6)

Answer 1

The answer to your question is dAB =
`√(8)`

Explanation:

Data

A (-6, 4)

B (-8, 6)

Process

To solve this problem, just use the formula of the distance between to points, substitute the values, simplify and get the answer.

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

x1 = -6 y1 = 4 x2 = -8 y2 = 6

-Substitution

dAB =
`\sqrt{(-8 + 6)^(2) + (6 - 4)^(2)}`

-Simplification

dAB =
`\sqrt{(-2)^(2) + (2)^(2)}`

dAB =
`√(4 + 4)`

-Result

dAB =
`√(8)`