Question

What is the length of the line segment with endpoints (11, −4) and (−12, −4

Answer 1

length of the line segment =23

Explanation:

`(11, −4) = (x_1 , y_1) \\ (−12, −4) = (x_2 , y_2) \\ d = \sqrt{(x_2 - x_1)^(2) + (y_2 - y_1)^(2) }`

Plug in the values into the equation

`d = \sqrt{( - 12 - 11)^(2) + ( - 4 - ( - 4)^(2) }`

Simply :

-12-11=- -23

-4(-4) = -4+4=0

`d = \sqrt{( - 23)^(2) + {(0)}^(2) } \\ d = √(529 + 0) \\ d = √(529) \\ d = 23`

Answer 2

23 units

Explanation:

Use the distance formula: d =
`√((x2 - x1)^2 + (y2 - y1)^2)`

Plug in the 2 points:

d =
`√((-12 - 11)^2 + (-4 + 4)^2)`

d =
`√(529)`

d = 23

So, the distance is 23 units