Answer:
The length of the line segment AB is 17.1
Step-by-step explanation:
Distance Between two Points in the Plane
Given two points A(x1,y1) and B(x2,y2), the distance between them is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We are given the points A(12,-2) and B(-4,-8). Applying the formula:
[tex]d=\sqrt{(-4-12)^2+(-8+2)^2}[/tex]
[tex]d=\sqrt{(-16)^2+(6)^2}[/tex]
[tex]d=\sqrt{256+36}=\sqrt{292}[/tex]
d = 17.1
The length of the line segment AB is 17.1
