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`"Distance" = | "A" * "x" + "B" * "y" + "C" | / sqrt( "A" ^2+ "B" ^2)`
Enter a value for all fields
The Distance Between A Point and Line calculator provides the distance from a point (x, y) to a line of the form Ax+By+C=0.
INSTRUCTIONS: Enter the following:
- (A) x coefficient in the line
- (B) y coefficient in the line
- (C) Constant in the line formula.
- (x) x value of the point.
- (y) y value of the point
Distance between the point and a line (D): The calculator returns the distance.
The Math / Science
If the formula of the line is put in the form Ax+By+C = 0, the formula for the distance between a point and a line is:
`D = (|A*x+B*y+C|) / sqrt(A^2+B^2)`
where:
- D is the distance between the point and the line
- A is the x coefficient in the line formula
- B is the y coefficient in the line formula
- C is the constant in the line formula
- x is the x position value of the point
- y is the y position value of the point
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