Question

Point A is located at (-4, -13). Point B is located at (-4, 3). What is the distance between point A

and point B?

Answer 1

the distance is 16

Explanation:

Hi there!

We are given point A (-4,-13) and point B (-4,3). We need to find the distance between those two points

the distance formula is given as
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}` where (
`x_(1)`,
`y_(1)`) and (
`x_(2)`,
`y_(2)`) are points

we are given 2 points, which is what we need for the formula. However, let's label the values of the points to avoid any confusion

`x_(1)`=-4

`y_(1)`=-13

`x_(2)`=-4

`y_(2)`=3

now substitute those values into the formula. Remember: the formula uses SUBTRACTION.

`√((-4--4)^2+(3--13)^2)`

simplify

`√((-4+4)^2+(3+13)^2)`

now add the values inside the parenthesis that are under the radical

`√((0)^2+(16)^2)`

raise everything under the radical to the second power

`√(0+256)`

add under the radical

`√(256)`

now take the square root of 256

`√(256)`=16

so the distance between point A and point B is 16

Hope this helps! :)