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

Explanation:

Apply the Pythagorean theorem,

62 + (−3)2

=

45

≈ 6.7 units

Answer 2

B) 6.7 units

Explanation:

Let
`(x_1,y_1)=A(-4,4)` and
`(x_2,y_2)=B(2,1)`

Use the distance formula given by;

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

Plug in the values.

`|AB|=√((2--4)^2+(1-4)^2)`

Simplify

`|AB|=√((2+4)^2+(-3)^2)`

`|AB|=√((6)^2+(-3)^2)`

`|AB|=√(36+9)`

`|AB|=√(45)`

`|AB|=3√(5)`

`|AB|=6.7` units, to the nearest tenth.