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Point on Line Checker

Check whether a point satisfies Ax + By + C = 0

Point on Line Formula

A x₀ + B y₀ + C = 0

A point lies on a line when its coordinates make the line equation true. Substituting x0 and y0 into Ax+By+C gives zero only when the point is exactly on the line.

⚠Small decimal rounding can affect near-zero results. This checker treats very tiny values as zero.

How Point-on-Line Testing Works

The line equation describes every point on that line. If a coordinate pair satisfies the equation, it belongs to the line.

Line Equation

Use Ax+By+C=0.

Substitution

Plug in the point coordinates.

Zero Test

Zero means the point is on the line.

Nonzero Value

Any nonzero result means off the line.

💡 Example: For line 2x+3y-12=0 and point (3,2), value=0, so the point is on the line.

Applications of Point on Line Checking

GraphingCoordinate ProofsLine EquationsAnalytic Geometry

Frequently Asked Questions

What is a point on line checker?▼
It checks whether a point satisfies a line equation.
What formula checks if a point is on a line?▼
Substitute the point into Ax+By+C. If the value is 0, the point is on the line.
How do I use this checker?▼
Enter A, B, C and the point coordinates, then click Calculate.
What if the result is not zero?▼
Then the point is not on the line.
Where is this used?▼
It is used in analytic geometry, graphing, coordinate proofs, and line equations.

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