Question

A line segment of length 5 has one endpoint at (1, 2) and the other endpoint at (4, b). Find all possible values of b, separated by commas.

Answer 1

Using the distance formula, root((x1-x2)^2 + (y1-y2)^2), we can solve for b

Root( 9 + (b-2)^2) = 5
9 + (b-2)^2 = 25
(b-2)^2 = 16
(b-2) = +- 4

Set up two equations

b - 2 = 4
b - 2 = -4

b = 6
b = -2

Answer 2

Answer:

6 or -2

Step-by-step explanation: