Question

Find the distance between each pair coordinates. Select the correct answer. (-8, -8), (4, 8)

Answer 1

Distance = 20 units

Explanation:

Points to remember

Distance formula

Length of a line segment with end points (x1, y1) and (x2, y2) is given by,

Distance = √[(x2 - x1)² + (y2 - y1)²]

To find the distance between give 2 points

Here (x1, y1) = (-8, -8) and (x2, y2) = (4, 8)

Distance = √[(x2 - x1)² + (y2 - y1)²]

= √[(4 - -8)² + (8 - -8)²]

= √[(4 + 8)² + (8 + 8)²]

= √[12² + 16²] = √[144 + 256)

= √400 = 20

Therefore distance = 20 units

Answer 2

20 units.

EXPLANATION

We want to find the distance between (-8,-8) and (4,8).

We use the distance formula:

`d = \sqrt{ {(x_2-x_1)}^(2) + {(y_2-y_1)}^(2) }`

We substitute the points into the formula to get:

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

We simplify to get;

`d = \sqrt{ {(12)}^(2) + {(16)}^(2) }`

`d = √(144+ 256)`

`d = √(400)`

`d = 20`

The distance between the two points is 20 units.