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# Distance between a point and line

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Equation / Last modified by Administrator on 2018/09/13 07:07
`"Distance" = `

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vCalc.Distance between a point and line

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e6cc33df-da27-11e2-8e97-bc764e04d25f

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**) This is the x coefficient in the line - (
**B**) This is the y coefficient in the line - (
**C**) This is the constant in the line formula. - (
**x**) This is the x value of the point. - (
**y**) This is the 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