The coordinates of the endpoints of AB are A(−4, 3) and B(1, −3). Which measurement is closest to the length of AB in units?

Responses
A 8.4 units
B 6.8 units
C 7.4 units
D 7.8 units

3 answers

To find the length of AB, we can use the distance formula:

AB = sqrt((x2-x1)^2 + (y2-y1)^2)

Given A(-4, 3) and B(1, -3):

AB = sqrt((1 - (-4))^2 + (-3 - 3)^2)
AB = sqrt(5^2 + (-6)^2)
AB = sqrt(25 + 36)
AB = sqrt(61)
AB ≈ 7.8 units

Therefore, the measurement that is closest to the length of AB in units is D) 7.8 units.
correct
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