Answer:
The answer to your question is dAB = [tex]\sqrt{8}[/tex]
Step-by-step explanation:
Data
A (-6, 4)
B (-8, 6)
Process
To solve this problem, just use the formula of the distance between to points, substitute the values, simplify and get the answer.
dAB = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}[/tex]
x1 = -6 y1 = 4 x2 = -8 y2 = 6
-Substitution
dAB = [tex]\sqrt{(-8 + 6)^{2} + (6 - 4)^{2}}[/tex]
-Simplification
dAB = [tex]\sqrt{(-2)^{2} + (2)^{2}}[/tex]
dAB = [tex]\sqrt{4 + 4}[/tex]
-Result
dAB = [tex]\sqrt{8}[/tex]