Question

Calculate the distance between the points (-8,1) and (0,7)

Answer 1

10 units

Explanation:

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

Using the distance formula above,

distance between the 2 points

`= \sqrt{[0 - ( - 8)]^(2) + (7 - 1)^(2) } \\ = \sqrt{(0 + 8)^(2) + 6^(2) } \\ = \sqrt{ {8}^(2) + 36} \\ = √(64 + 36) \\ = √(100) \\ = 10 \: units`