Answer:
7 units
Step-by-step explanation:
To find the distance between two points, we use the distance formula:
[tex]d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }[/tex]
Plug in what you know.
[tex]d = \sqrt{(-5 - 2)^2 + (-2 - (-2))^2 }[/tex]
Evaluate the double negative.
[tex]d = \sqrt{(-5 - 2)^2 + (-2 + 2)^2 }[/tex]
Evaluate the parentheses.
[tex]d = \sqrt{(-7)^2 + (0)^2 }[/tex]
Evaluate the exponents.
[tex]d = \sqrt{(49) + (0) }[/tex]
Add.
[tex]d = \sqrt{(49)[/tex]
Evaluate the radical.
d = ±7
Since distance cannot be negative, our answer is 7.
The distance between the two points is 7 units.
Hope this helps!
