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

User Myk Melez
by
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1 Answer

7 votes

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.

User Stu Gla
by
8.5k points

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