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Question

The coordinates of the endpoints of AB are A(−4, 4) and B(2, 1). Which measurement is closest to the length of AB in units?
Responses
A 6.2 units6.2 units
B 6.7 units6.7 units
C 7.1 units7.1 units
D 7.5 units

Answer 1

To find the distance between two points in a coordinate plane, we can use the distance formula:

AB = √((x2 - x1)^2 + (y2 - y1)^2)

In this case:
x1 = -4
y1 = 4
x2 = 2
y2 = 1

Plugging in the values, we get:
AB = √((2 - (-4))^2 + (1 - 4)^2)
AB = √(6^2 + (-3)^2)
AB = √(36 + 9)
AB = √45
AB ≈ 6.7 units

Therefore, the closest measurement to the length of AB in units is 6.7 units, which corresponds to option B.