Question

College Algebra How do I find the exact length of the line segment AB, where A (-1,1) and B (11,6)

Answer 1

length = 13 units

Step-by-step explanation:

If we have two points (x1, y1) and (x2, y2), the distance between them is given by

`D=√((x_2-x_1)^2+(y_2-y_1)^2)`

Now in our case, the two points we have are (-1, 1) and (11,6); therefore, the distance between them is given by

`D=√((11-(-1))^2+(6-1)^2)^`

where we just have substituted x2 = 11, y2 = 6, x1 = -1, and y1 = 1.

Now simplifying the above expression gives

`D=√(12^2+5^2)`

`D=√(169)`
`\boxed{D=13.\text{ }}`

which is our answer!