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?

A) 6.2 units
B) 6.7 units
C) 7.1 units
D) 7.5 units

Answer 1

B) 6.7 units

I'm sure of my answer.

Answer 2

The closest length of AB is 6.7 units ⇒ answer B

Explanation:

∵ A = (-4 , 4) and B = (2 , 1)

∵
`AB=\sqrt{(x2-x1)^(2)+(y2-y1)^(2)}`

∵ AB =
`\sqrt{(2 - -4)^(2)+(1 - 4)^(2)}=√(36+9)=√(45)=6.71`

∴ AB = 6.71 ≅ 6.7 units