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What Does Direct Variation Look Like on a Graph?

How does a direct (linear) variation look graphically?

Summary

  1. k is the constant of variation
  2. y=kx is the equation for direct variation
  3. The constant of variation in the direct variation equation is equal to the slope of the line
  4. The y-intercept is where the line crosses the vertical, or y-axis

Notes

    1. y=2x follows the form y=kx
    1. In this case, the slope of the line and the constant of variation are both 2
    1. The y-intercept is where the line crosses the vertical, or y-axis
    1. If we subtracted a number from 2x, that number would be our y-intercept.