y=kx Direct Variation Calculator

Find the constant of variation and calculate y for a direct variation y = kx.

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Also available in our Android app, with charts and full breakdown tables.

📘 About the Direct Variation

Find a direct variation constant and use it to predict another y value.

🧮 Formula

Where

  • x1,y1 = known pair
  • x2 = new x
  • k = constant of variation
k = y1/x1; y2 = kx2.

✏️ Worked example

y = 20 when x = 4

You enter
Known x4
Known y20
New x7
You get
Constant k5
New y35

k = 5, so y is 35 when x = 7.

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🧭 How to use this calculator

What you enter

  • Known x
  • Known y
  • New x

What you get

  • Constant k
  • New y

💡 Condition

  • The known x value must be non-zero.
  • The relationship assumes direct variation through the origin.

❓ Frequently asked questions

What is direct variation?

It is a proportional relationship where y divided by x remains constant.