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Distance from a point to a line - 2-Dimensional.


Distance from a point to a line on plain
Definition.
Distance from a point to a line — is equal to length of the perpendicular distance from the point to the line.

Distance from a point to a line on plain formula

If Ax + By + C = 0 is 2D line equation, then distance between point M(Mx, My) and line can be found using the following formula


Examples of tasks with from a point to a line on plain

Example 1.
To find distance between line 3x + 4y - 6 = 0 and point M(-1, 3).

Solution. Let's use the formula:

d |3·(-1) + 4·3 - 6|  =  |-3 + 12 - 6|  =  |3|  = 0.6
32 + 42 9 + 16 5

Answer: distance from point to line is equal to 0.6.

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