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

Answer:

The required distance between A & B is 16.

Step-by-step 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 = $\sqrt{ 256}$

d = 16

Hence the distance between A & B is 16.