Answer:
13
Step-by-step explanation:
[tex](4, 6) = (x _1 , y_1) \\ (3, -7) = (x_2 \: y_2) \\ \\ d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]
Plug in the given values
[tex]d = \sqrt{(3 - 4)^{2} + ( - 7 - 6)^{2} } \\ d = \sqrt{( - 1)^{2} + {( - 13)}^{2} } \\ d = \sqrt{1 + 169} \\ d = \sqrt{170} = 13.0[/tex]