Examine the diagram, and answer the question. The points A(2,7)
and B(−4,−3)

are located in the coordinate plane as shown.

Points A and B are shown in the coordinate plane at the locations indicated.

© 2016 StrongMind. Created using GeoGebra.
What is the approximate distance between the two points?
15.6
7.3
6.7
11.7

9514 1404 393

  11.7

Step-by-step explanation:

GeoGebra can not only draw the picture, it can answer the question. The approximate distance between the points is about 11.7 units.

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The distance formula is used for this:

  d = √((x1 -x1)² +(y2 -y1)²)

  d = √((-4-2)² +(-3-7)²) = √(36 +100)

  d = √136 ≈ 11.7

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Once you find that the distance is about √136, you know it is more than 11 (11² = 121) and less than 12 (12² = 144). The only answer choice that makes any sense is 11.7.