Question

Find the distance between the points (-6 7) and (-1 -5)

Answer 1

13

Explanation:

For finding the distance between two points, we can just use the distance formula.

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

-6 is x1, 7 is y1. -1 is x2, -5 is y2.

`\sqrt{(-1-(-6))^2+(-5-7)^(2) }`

Simplify inside the parenthesis.

`√((5)^2+(-12)^2)`

Simplify the exponents.

`√(25+144)`

`√(169)`

The square root of 169 is 13.