Answer:
Length is 6√2 units or 8.49 units
Step-by-step explanation:
Length formular:
[tex]length = \sqrt{ {(x _{2} - x_{1}) }^{2} + {(y_{2} - y_{1})}^{2} } [/tex]
x1 is 2
x2 is -4
y1 is 3
y2 is 9
[tex]length = \sqrt{ {( - 4 - 2)}^{2} + {(9 - 3)}^{2} } \\ \\ = \sqrt{ {( - 6)}^{2} + {6}^{2} } \\ \\ = \sqrt{36 + 36} \\ = \sqrt{2 \times 36} \\ = \sqrt{2} \times \sqrt{36} \\ { \boxed{ \boxed{= 6 \sqrt{2} }}} \\ = 8.49 \: units[/tex]
