Direct Variation Calculator
y = kx
Results
How to Use
- Enter the values for x₁ and y₁ (required)
- Optionally enter x₂ and y₂ for verification
- Click "Calculate" to find the constant of variation
- View the equation and graph of the direct variation
About Direct Variation
Direct variation occurs when two variables are related by the equation:
y = kx
Where:
- y is the dependent variable
- x is the independent variable
- k is the constant of variation
Properties:
- As x increases, y increases proportionally
- The ratio y/x is always constant (k)
- The graph is a straight line passing through the origin
- The slope of the line equals k
Common Examples
| Scenario | Equation | Constant (k) |
|---|---|---|
| Distance vs. Time (constant speed) | d = rt | speed (r) |
| Cost vs. Quantity | C = pq | price per unit (p) |
| Force vs. Mass | F = ma | acceleration (a) |
| Volume vs. Height | V = Ah | area (A) |
Applications
- Physics and engineering calculations
- Economics and business analysis
- Scientific research
- Mathematical modeling
- Real-world problem solving
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