Distance Between a Point and a Line

This video illustrates a set of techniques that can be used to determine the shortest distance between a point and a line. For part 2, as well as many more instructional Math videos and exercise and answer sheets, go to:

http://www.thefreemathtutor.com

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• point
• line
• straight
• slope
• reciprocal
• negative
• formula
• comparison
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[outspolsis]

I discovered a faster way ;D

1- Get the perpendicular point in the line of the given point (the shortest distance between the point and the line)

2- Now you have 2 points, so just use the distance between 2 points formula

Easy ;D

[jhomsliz]

sir would you mind to send me a video of your demo regarding binomial theorem.I'll be using it tom. thanks

[nailuj360]

Thank you, this helped me.

[lqlw01]

@olvvvvlo use the distance formula :P

[97codycommander]

@olvvvvlo Its easy now, you must calculate the distance between the original point and the point where both lines intersect. By knowing each points coordinates, you proceed to a pythagorean theorem (if you draw the line uniting both points, you can imagine a right rectangle and you can easily find its catheti and, therefore, calculate its hypotenuse

[olvvvvlo]

And finally the solution is solving a two incognits first degree ecuation system.

[olvvvvlo]

Ho, I gare it now. After all an infinity of functions can be perpendicular to my line, but since this ecuation have to pass throw my point then I can use the formula for the slope to calculate my ecuation and even my point. Now its clear.

[olvvvvlo]

so... How am I suposed to calculate that distance?