Question

What is the length of the line segment AB is point A is (12, -2) and B is (-4, -8)? Round to the nearest tenth.

Answer 1

The length of the line segment AB is 17.1

Explanation:

Distance Between two Points in the Plane

Given two points A(x1,y1) and B(x2,y2), the distance between them is:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

We are given the points A(12,-2) and B(-4,-8). Applying the formula:

`d=√((-4-12)^2+(-8+2)^2)`

`d=√((-16)^2+(6)^2)`

`d=√(256+36)=√(292)`

d = 17.1

The length of the line segment AB is 17.1