Answer:
5 units
Step-by-step explanation:
[tex]\boxed{distance \: between \: 2 \: points = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } }[/tex]
Distance between (0, -2) and (-3, -6)
[tex] = \sqrt{{[ - 2 - ( - 6)]}^{2} + {[0 - ( - 3)]}^{2} } [/tex]
[tex] = \sqrt{ {( - 2 + 6)}^{2} + (0 + 3)^{2} } [/tex]
[tex] = \sqrt{ {4}^{2} + {3}^{2} } [/tex]
[tex] = \sqrt{25} [/tex]
= 5 units