Answer:
Length of the line segment with endpoints (11,−4) and (−12,−4) is 23 units
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
![\sqrt{(x_2-x_1)^2 +(y_2 - y_1)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/217weeremnn9tjkxujrpyxzumnramq1hvw.png)
Here
= 11
= -12
= -4
= -4
Substituting the values
Length of the line
=>
![\sqrt{((-12)- 11)^2 +((-4) - (-4))^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/w86ae6jpkmzvl6oaddlu5j8ufmprqcfsyu.png)
=>
![\sqrt{(-12- 11)^2 +(-4+4)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/z7hwva5c7nasqbul4jbeqd8xl42u1ssyhc.png)
=>
![\sqrt{(-23)^2 +(0)^2](https://img.qammunity.org/2020/formulas/mathematics/middle-school/brmeudmh7b566lonc7nxwkwlph326jgki7.png)
=>
![√(529)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/tea2uzfym14wrndovey5be7l34h4cg5ts9.png)
=>23