Answer :

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.

Step-by-step explanation:

If the product of y and z, yz=16

Point y lies at -4.

Substituting y=-4 into yz=16, we obtain:

[tex]-4z=16[/tex]

Divide both sides by -4

[tex]z=-4[/tex]

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.

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