Question

What is the distance between (-6,4) and (-8,6)? Choose 1 answer:

A. 2
B.3
C

`√(4)`
D

`√(8)`
​

Answer 1

D

Explanation:

We want to find the distance between (-6, 4) and (-8, 6).

We can use the distance formula given by:

`d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2`

Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).

Substitute:

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

Evaluate:

`d=\sqrt{(-2)^2+(2)^2`

Evaluate:

`d=√(4+4)=√(8)`

Hence, our answer is D.