Point on Line Checker - Test if a Point Lies on a Line
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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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