Question

PQ has endpoints at P(-5, 4) and Q (7,-5). What is the length of PQ?

Answer 1

Given:

PQ has endpoints at P(-5, 4) and Q (7,-5).

To find:

The length of PQ.

Solution:

Distance formula:

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

Using the distance formula, the distance between P(-5, 4) and Q (7,-5) is

`PQ=√((7-(-5))^2+(-5-4)^2)`

`PQ=√((7+5)^2+(-9)^2)`

`PQ=√((12)^2+(-9)^2)`

`PQ=√(144+81)`

`PQ=√(225)`

`PQ=15`

Therefore, the length of PQ is 15 units.