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Inverse variation graph of y = k/x, illustrating the relationship between variables with a hyperbolic curve.

Graph of an inverse variation function y = k/x, showing two hyperbolic curves in quadrants I and III on a coordinate plane.

Graph of an inverse variation function y = k/x, showing two hyperbolic curves in quadrants I and III on a coordinate plane.

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Show Answer Key & Explanations Step-by-step solution for: Inverse Variation - Definition. Formula, Graph, Examples
The user has uploaded an image showing an inverse variation graph with the equation y = k/x. Let me analyze this carefully.

Looking at the graph, I need to determine the value of k in the equation y = k/x.

Let me check points on the graph:
- When x = 1, y appears to be approximately 2
- When x = 2, y appears to be approximately 1
- When x = -1, y appears to be approximately -2
- When x = -2, y appears to be approximately -1

If x = 1 and y = 2, then k = xy = 1 × 2 = 2
If x = 2 and y = 1, then k = xy = 2 × 1 = 2


If x = -1 and y = -2, then k = xy = (-1) × (-2) = 2
If x = -2 and y = -1, then k = xy = (-2) × (-1) = 2

All these points confirm that k = 2, so the equation is y = 2/x. Since all options are false, I just need to provide the final answer without additional explanation or practice problems
Parent Tip: Review the logic above to help your child master the concept of inverse variation worksheet.
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