What is a possible 2nd endpoint of line segment (4, 7) which is 5 units long?

Question

The point (4, 7) is an endpoint of a line segment. The segment is 5 units long. which of the following is a possible 2nd endpoint of the line?

 

(1, 4)

(-1, 6)

(1, 11)

(0, 3)

Answer 1

(1 , 11) is a possible second endpoint.

Distance between (4 , 7) and (1 , 11) is:

sqrt((11 - 7)^2 + (1 - 4)^2)
= sqrt(4^2 + (-3)^2)
= sqrt(16 + 9)
= sqrt(25)
= 5 units

You can check the other given points, none of them will give you a distance of 5 units.