Question

A line segment has endpoints of (-3, 2) and (5, -2). Find the distance between the endpoints.

Round your answer to the nearest tenth (one number past the decimal). If the second number past the decimal is 5 or greater, round up.

Answer 1

`d=8.9\ units`

Explanation:

we know that

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

we have

(-3, 2) and (5, -2)

substitute the values in the formula

`d=\sqrt{(-2-2)^(2)+(5+3)^(2)}`

`d=\sqrt{(-4)^(2)+(8)^(2)}`

`d=√(80)\ units`

`d=8.94\ units`

Round to the nearest tenth

`d=8.9\ units`