Question #7adba

1 Answer
Feb 10, 2018

Length of line segment (essentially distance between the two points) is 2

Explanation:

The length of this line segment is essentially going to be the distance between the two points, so we can use the distance formula. NOTE: If the distance formula seems foreign to you, it is essentially an application of the Pythagorean Theorem.

Distance Formula: #d=sqrt((x_2-x_1)+(y_2-y_1))#

#(-3,-5), (7,-11)#
#x_1=-3, x_2=7, y_1=-5, y_2=-11#

Now, let's plug in:

#d=sqrt(7-(-3)+(-11-(-5))#

#d=sqrt(10-6)#

#d=sqrt(4)#

#d=2#

Our distance (essentially the length of our line segment) is 2. Notice, I only took the principal (positive square root) of 4. Reason being, distance is never negative, so we can ignore the negative square root.