Question

Find the distance between the points (0,-2) and (-3,-6)

Answer 1

5 units

Explanation:

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

Distance between (0, -2) and (-3, -6)

`= \sqrt{{[ - 2 - ( - 6)]}^(2) + {[0 - ( - 3)]}^(2) }`

`= \sqrt{ {( - 2 + 6)}^(2) + (0 + 3)^(2) }`

`= \sqrt{ {4}^(2) + {3}^(2) }`

`= √(25)`

= 5 units