If A=(-1, -3) and B=(11,-8), what is the length of AB? A. 14 units
B. 13 units
C. 12 units
D. 11 units

9514 1404 393

  B.  13 units

Step-by-step explanation:

The distance formula can be useful.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((11-(-1))² +(-8-(-3))²) = √(12² +(-5)²) = √(144 +25) = √169

  d = 13

The length of AB is 13 units.

If you're familiar with a few of the small Pythagorean triples, you would know that for integer coordinates, an integer answer is most likely to be 13. The x- and y-differences in coordinates being 12 and 5 confirm that the (5, 12, 13) triple is being used here.

There are no Pythagorean triples with hypotenuse values of 11, 12, or 14. (3, 4, 5) can be doubled to give (6, 8, 10), but 10 is not a choice.

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