What is the length of line segment AB with endpoints A (-2, 3) and B (1, 2)? Pls I need help ASAP

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the endpoints:

A (-2, 3)

B (1, 2)

x1 = -2

x2 = 1

y1 = 3

y2 = 2

Determine the length of the line segment.

The formula for the length of line segment, also known as the distance formula:

d = √ ((x2 - x1)^2 +(y2 - y1)^2)

Solution:

Substitute the given values of x1, x2, y1, and y2 to the distance formula.

d = √ ((x2 -  x1)^2 +(y2 - y1)^2)

d = √ ((1 - (-2) )^2 +( 2 - 3)^2)

d = √ ((3)^2 +( -1)^2)

d = √ (9 +1)

d = √10

d = 3.16

Final answer:

√10 or 3.16