Question

Find the distance between (5, 6) and (-9, -2)

Answer 1

Answer:

So we must determine the distance between our two given points and that can be found using the distance formula $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$.

Plugging the values into the equation and solve

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

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

$d=\sqrt{(-14)^2+(-8)^2}$

$d=\sqrt{196+64}$

$d=\sqrt{260}$

$d=16.125\ units$

Therefore, our final answer is that the distance is 16.125 units

Hope this helps!  Let me know if you have any questions