Find the distance between (6,4) and (-6,-5) by using the distance formula

Question

asked Mar 8, 2021 105k views

1 Answer

Anubhav Trivedi · Answer 1 · 2021-03-15T12:19:39+0000

Answer:

$\boxed {d = 15}$

Explanation:

Use the Distance Formula to help determine the distance between two given points:

$d = \sqrt{(x_(2) - x_(1))^(2) + (y_(2) - y_(1))^(2)}$

First point:
(x_(1), y_(1))

Second point:
(x_(2), y_(2))

-Substitute both given points:

(x_(1), y_(1)) = (6, 4)

(x_(2), y_(2)) = (-6, -5)

$d = \sqrt{(-6 - 6)^(2) + (-5 - 4)^(2)}$

-Solve for the distance:

$d = \sqrt{(-6 - 6)^(2) + (-5 - 4)^(2)}$

$d = \sqrt{(-12)^(2) + (-9)^(2)}$

d = √(144 + 81)

d = √(225)

$\boxed {d = 15}$

Therefore, the distance is
.