Answer:
Length of the line segment with endpoints (11,−4) and (−12,−4) is 23 units
Step-by-step explanation:
Given:
Endpoints are (11,−4) and (−12,−4)
To Find:
The length of the line = ?
Solution:
The length of the line can be found by using the distance formula
[tex]\sqrt{(x_2-x_1)^2 +(y_2 - y_1)^2[/tex]
Here
[tex]x_1[/tex]= 11
[tex]x_2[/tex]= -12
[tex]y_1[/tex]= -4
[tex]y_2[/tex]= -4
Substituting the values
Length of the line
=>[tex]\sqrt{((-12)- 11)^2 +((-4) - (-4))^2[/tex]
=>[tex]\sqrt{(-12- 11)^2 +(-4+4)^2[/tex]
=>[tex]\sqrt{(-23)^2 +(0)^2[/tex]
=>[tex]\sqrt{529}[/tex]
=>23
