Question

: Point A is located at (−4, 9) on the coordinate plane. Point B is located at (−4, −7). ​What is the distance between Point A and Point B?

Answer 1

The required distance between A & B is 16.

Explanation:

Given that-

A = ( - 4, 9) & B = ( -4, -7)

We have to find distance between A and B -

As we know that -

If point P = (
`x_(1), y_(1)` ) & point Q = (
`x_(2), y_(2)` ) then by distance formula

d =
`\sqrt{ ( x_(2) - x_(1))  ^(2) + ( y_(2) - y_(1) ) ^(2) }` ; where d is the distance between P & Q.

therefore,

d =
`\sqrt{ ( -4 - ( -4))^(2) + ( - 7 - 9 )^(2)  }`

d =
`\sqrt{ ( -4 + 4 )^(2) + ( - 7 - 9 )^(2) }`

d =
`\sqrt{ 0 + ( - 16 )^(2) }`

d =
`√( 256)`

d = 16

Hence the distance between A & B is 16.