Question

Question 3 (1 point

Draw line segment AB on the coordinate plane. Find the
length of line segment AB to the nearest tenth.
А
B

Answer 1

AB = 5.8 units

Step-by-step explanation:

The distance of line segment AB shown in the attachment below can be calculated using the distance formula,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)`, assuming that each box in the graph equals 1 unit.

A(2, 4)

B(-3, 1)

Let,

`A(2, 4) = (x_1, y_1)`

`B(-3, 1) = (x_2, y_2)`

Plug in the values into the distance formula

`d = √((-3 - 2)^2 + (1 - 4)^2)`

`d = √((-5)^2 + (-3)^2)`

`d = √(25 + 9)`

`d = √(34)`

`d = 5.8` (nearest tenth)

AB = 5.8 units