Question

If A = (-2, -4) and B = (-8, 4), what is the length of AB?

A. 14 units

B. 16 units

C. 12 units

D. 10 units

Answer 1

Choice D is correct answer.

Explanation:

We have given two points.

A = (-2, -4) and B = (-8, 4)

We have to find length of AB.

We use distance formula to find distance between two points.

d = √(x₂-x₁)²+(y₂-y₁)²

Let A = (x₁,y₁) = (-2, -4) and B = (x₂,y₂) = (-8, 4)

Putting above values in formula, we have

d = √(-8-(-2))²+(4-(-4))²

d = √(-8+2)²+(4+4)²

d = √(-6)²+(8)²

d = √36+64

d = √100

d = 10 units

Hence , The length of AB is 10 units.

Answer 2

Answer: OPTION D

Explanation:

To solve this exercise you must use the formula for calculate the distance between two points, which is shown below:

`d_((A,B))=√((x_2-x_1)^2+(y_2-y_1)^2)`

Now, you must substitute the points given in the problem into the formula:

A(-2,-4)

B(-8,4)

`d_((A,B))=√((-8-(-2))^2+(4-(-4))^2)`

Then, the result is:

`d_((A,B))=10units`