How to find the minimal distance between a 2D point and a 2D line?

Bitanga

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Mar 12, 2018
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So, let's say I have a point (-5, 6) and a line through points (-10, -12) and (5, 3).

How do I find the distance from the point (-5, 6) to the line using only the coordinates of the points?
 

Subhotosh Khan

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Jun 18, 2007
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So, let's say I have a point (-5, 6) and a line through points (-10, -12) and (5, 3).

How do I find the distance from the point (-5, 6) to the line using only the coordinates of the points?
Determine the equation of the line through points (-10, -12) and (5, 3).

Then calculate the perpendicular distance of the line from the point(-5,6).

There are various methods to accomplish this.

What method/s have you been taught?
 
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