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  1. Calculate the shortest distance between the point A(6, 5) and the line y= 2x+ 3. The shortest distance is the line segment connecting the point and the line such that the segment is perpendicular to the line.

  2. Distance from a point to a line. To nd the distance of a point P to a line l we always distance from the point to the line. What does "perpendicular" we draw a line through the point P that intersects our line say, the distance from P to Q, PQ, is the "perpendicular" to l.

  3. Shows how to find the perpendicular distance from a point to a line, and a proof of the formula.

  4. Write equations of parallel and perpendicular lines. Use slope to fi nd the distance from a point to a line. Partitioning a Directed Line Segment A directed line segment AB is a segment that represents moving from point A to point B. The following example shows how to use slope to fi nd a point on a directed line

  5. Draw a point not on linel and label it P. Construct a line through point P perpendicular to linel. Use a centimeter ruler to measure the distance from point P to linel. Construct a line through point P parallel to linel and label it m.

  6. Distance From a Point to a Line. Find the distance between the point with the given coordinates. and the line with the given equation. 1. ("1, 5), 3x. ".

  7. The distance from a point to a line is the length of the perpendicular segment from the point to the line. This perpendicular segment is the shortest distance between the point and the line. For example, the distance between point A and line k is AB. k.

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