Question

Find the distance between the pair of points.
(-1, -6) and (8, -7)

Answer 1

9.06 units (3 s.f.)

Explanation:

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

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate.

Distance between (-1, -6) and (8, -7)

`= \sqrt{[- 7 - ( - 6)]^(2) + [8 - ( - 1)]^(2) }`

`= \sqrt{ {( - 7 + 6)}^(2) + (8 + 1) {}^(2) }`

`= \sqrt{( - 1)^(2) + {9}^(2) }`

`= √(1 + 81)`

`= √(82)`

= 9.06 units (3 s.f.)