Answer:
10 units
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]
To find the distance between two points, substitute the given points into the distance formula and solve for d.
Given points:
[tex]\begin{aligned}\implies d&=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\&=\sqrt{(2-(-8))^2+(-4-(-4))^2}\\&=\sqrt{(10)^2+(0)^2}\\&=\sqrt{100}\\&=10\end{aligned}[/tex]
However, as the y-values of the two given points are the same, we can simply find the difference between the x-values of the two points to find the distance between point A and B:
[tex]\begin{aligned}\implies \textsf{Distance}&=x_B-x_A\\&=2-(-8)\\&=2+8\\&=10\end{aligned}[/tex]
Therefore, the distance between point A and point B is:
