https://file.aiquickdraw.com/mathbot/file/1727400424491kuy437qh.jpg

The property of equality shown in the image is **Division Property of Equality**. 

Explanation:
The Division Property of Equality states that if two expressions are equal, dividing both sides of the equation by the same non-zero number does not change the equality. In this case, both sides of the equation \(-91 = nm\) are divided by \(43\), which results in the new equation \(\frac{-91}{43} = \frac{nm}{43}\).

Would you like a further breakdown of how the Division Property of Equality works?

Here are five related questions to expand your understanding:
1. What is the Multiplication Property of Equality?
2. Can the Division Property of Equality be applied to inequalities?
3. How do we solve an equation when both sides involve division?
4. What are the key differences between the Addition and Division Properties of Equality?
5. How can you check if a solution after applying the Division Property is correct?

**Tip:** Always ensure you divide or multiply both sides of an equation by the same number to maintain equality.

Which property of equality is shown below? If -91 = nm, then -91/43 = nm/43

Learn how the Division Property of Equality is used to maintain the balance of equations. This example shows how dividing both sides of the equation -91 = nm by 43 results in -91/43 = nm/43, a fundamental algebraic technique taught in Grades 6-8.

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