Answer:
13
Step-by-step explanation:
For finding the distance between two points, we can just use the distance formula.
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }[/tex]
-6 is x1, 7 is y1. -1 is x2, -5 is y2.
[tex]\sqrt{(-1-(-6))^2+(-5-7)^{2} }[/tex]
Simplify inside the parenthesis.
[tex]\sqrt{(5)^2+(-12)^2}[/tex]
Simplify the exponents.
[tex]\sqrt{25+144}[/tex]
[tex]\sqrt{169}[/tex]
The square root of 169 is 13.
