Question

What is the distance between the points (6,-7) and (1,5)

Answer 1

Answer: The distance is d = 13 .

Step-by-step explanation:

In order to find the distance between the two points, you need the distance formula:

$d = \sqrt{(x_{2} - x_{1})^2 +(y_{2} - y_{1})^2}$ where there is $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ .

-Use the those two points $(6,-7)$ and $(1,5)$ for this formula:

$d = \sqrt{(1 -6)^2 +(5 + 7)^2}$

-Then, you start solving:

$d = \sqrt{(1 -6)^2 +(5 + 7)^2}$

$d = \sqrt{(-5)^2 +(12)^2}$

$d = \sqrt{25 +144}$

$d = \sqrt{169}$

$d = 13$

So, therefore, the result is $d = 13$ .