Distance from a point to a line - 2-Dimensional.
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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
| d = | |A·Mx + B·My + C| |
| √A2 + B2 |
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.
Analytic geometry: Introduction and contentsDistance between two pointsMidpoint. Coordinates of midpointEquation of a lineEquation of a planeDistance from point to planeDistance between two planesDistance from a point to a line - 2-DimensionalDistance from a point to a line - 3-DimensionalAngle between two planesAngle between line and plane
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