Respuesta :

Answer:

8.6 units is the answer.

Step-by-step explanation:

points are (1,-7) and (-6,-2)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-6-1)^2 + (-2-(-7))^2}\\\\d=\sqrt{(-7\\)^2+(5)^2} \\\\d=\sqrt{49+25} \\\\d=\sqrt{74} \\\\d=8.602...[/tex]

Rounding off,

d = 8.6 units.

The answer is d=8.6 units