Question

Use the distance formula to find the length of the segment between points (2,-3) and (5,-4)

A.10
B.square root of 50
C.square root of 10
D.58

Answer 1

Answer C: √10

Explanation:

Construct a right triangle whose hypotenuse represents the distance between the given points. As we move from (2, -3) to (5, -4), x increases by 3 and y decreases by 1. Thus, the lengths of the legs of this right triangle are 1 and 3. Using the distance formula, we get d = √(1^2 + 3^2) = √10 (This matches Answer C).