Question

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

Answer 1

Answer:

8

Step-by-step explanation:

The user above is correct. The square root of 61 is equal to 7.810249676 which can be rounded up to 8.

Answer 2

Answer:

$\sqrt{61}$

Step-by-step explanation:

To find the distance, we first do B - A, where B is (-6, 7) and A is (-1, 1):

(-6, 7) - (-1, 1) = (-6+1, 7-1) = (-5, 6)

Imagine it as a triangle, where the hypotenuse is the distance, and -5 and 6 are the lengths of the sides.  

To find the hypotenuse (Pythagorean Theorem):  $\sqrt{(-5)^2+6^2} =\sqrt{25+36} =\sqrt{61}$

The answer is the square root of 61.