Answer:
12 units
Step-by-step explanation:
To find the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex], we can use the distance formula:
[tex] \large\boxed{\boxed{\textsf{Distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}} [/tex]
Given the points [tex](-4, 6)[/tex] and [tex](-4, -6)[/tex], substitute these values into the formula:
[tex]\begin{aligned} \textsf{Distance} & = \sqrt{(-4 - (-4))^2 + (-6 - 6)^2} \\\\ & = \sqrt{0^2 + (-12)^2} \\\\ & = \sqrt{0 + 144} \\\\ & = \sqrt{144}\\\\ & = \sqrt{12^2} \\\\ & = 12\end{aligned}[/tex]
So, the distance between the points is [tex] \boxed{12} [/tex] units.
