Given the points (–3,k)(–3,k) and (2,0)(2,0), for which values of k would the distance between the points be 34−−√34 ?

The possible values of k are 3 and -3

Step-by-step explanation:

Given

Points: (-3,k) and (2,0)

Distance between them = √34

Required

Determine the value of k

The distance between two points is calculated as thus;

Let

Substitute these values in the given formula

Evaluate the brackets

Recall that Distance = √34

So; we have

Take square of both sides

Collect Like Terms

Take square root of both sides

Hence, the possible values of k are 3 and -3