Question

Find the distance between the two points in simplest radical form.

Answer 1

The distance between these two points is 15 units.

Answer 2

The distance between these two points is 15 units.

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To find the distance between two points.

Use the distance formula:

`\sf d = √((x_2 - x_1)^2 + (y_2 - y_1)^2) \quad where\:(x_1,y_1), \:(x_2, y_2)\:are\:points`

Here the points are (-1, 4), (8, -8)

Substitute these values in formula:

`\sf d = √((8 - (-1))^2 + (-8 -4)^2)`

`\sf d = √((9)^2 + (-12)^2)`

`\sf d = √(81 + 144)`

`\sf d = √(225)`

`\sf d = 15`