Corrected Question
Suppose that y and z are points on a number line if yz equals 16 and y lies at -4. Where could z be located?
Answer:
z would be located at -4.
Explanation:
If the product of y and z, yz=16
Point y lies at -4.
Substituting y=-4 into yz=16, we obtain:
![-4z=16](https://img.qammunity.org/2021/formulas/mathematics/college/nvi0gzabmhzt75gdjfzu82p028bjyfnc4v.png)
Divide both sides by -4
![z=-4](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rmk60er1s93oxzvs55ua252xlyb0jbrt49.png)
Therefore, z would be located at -4, which is the same point at which y is located.
y and z are the same points on the number line.
We know our result is correct because the product of two negative numbers is positive.