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

Answer:

length = 13 units

Explanation:

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

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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

$D=\sqrt{(11-(-1))^2+(6-1)^2}^$

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

Now simplifying the above expression gives

$D=\sqrt{12^2+5^2}$

$D=\sqrt{169}$$\boxed{D=13.\text{ }}$

which is our answer!