Option (c)
[tex]6 \: units[/tex]
Step-by-step explanation:
By the give problem,
Let
[tex](x {}{1} ,y1) = ( - 5, - 2)[/tex]
[tex](x2,y2) = ( - 5, - 8)[/tex]
By using distance formula
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
[tex]d = \sqrt{ {( - 5 - ( - 5))}^{2} + {( - 8 - ( - 2))}^{2} } [/tex]
[tex]d = \sqrt{ { (- 5 + 5)}^{2} + {( - 8 + 2)}^{2} } [/tex]
[tex]d = \sqrt{0 + 36} [/tex]
[tex]d = \sqrt{36} [/tex]
[tex]d = 6 \: units[/tex]
Hence, option (c) is correct
