Question

What is the exact distance between the point (-2,-1) and the point (6,8) units

Answer 1

`√(145)`units

Explanation:

Distance between 2 points

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

Thus distance between (-2, -1) and (6, 8)

`= \sqrt{ {(6 + 2)}^(2) + (8 + 1)^(2) } \\ = \sqrt{8^(2) + 9^(2) } \\ = √(145) \: units`