Question

Question #7adba

Answer 1

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.