Question

What epuation correctly shows how to determine the distance between points 9,-2 6,3

Answer 1

$d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}$

This is the distance formula. To find the distance, solve as shown:

$d=\sqrt{(6-9)^{2}+(3-(-2))^{2} } \\d=\sqrt{(6-9)^{2}+(3+2)^{2} } \\d=\sqrt{(-3)^{2}+(5)^{2} } \\d=\sqrt{9 +25 } \\d=\sqrt{34 }$