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2.2.4

2.2.4. Use slope criteria for parallel and perpendicular lines to solve problems on the coordinate plane. Find the shortest distance between a line and a point. The shortest distance between a line a point is the segment that is perpendicular to the line and contains the point.

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2.2.4

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  1. 2.2.4 Use slope criteria for parallel and perpendicular lines to solve problems on the coordinate plane

  2. Find the shortest distance between a line and a point The shortest distance between a line a point is the segment that is perpendicular to the line and contains the point.

  3. Find the shortest distance between y = 3x + 4 and (-3,2) • Find the equation of line perpendicular to y = 3x + 4 and contains (-3, 2) • Find point of intersection of perpendicular line and given line. • Find distance between point of intersection and given point.

  4. Find the shortest distance between a pair of parallel lines • Find the shortest distance between y = 3x + 4 and y = 3x – 7 • Determine slope of perpendicular line • Determine a point on one line • Find equation of perpendicular line containing chosen point • Determine point of intersection of perpendicular line and second parallel line • Find distance between two points

  5. Find the equation of the perpendicular bisector of a segment • The perpendicular bisector of a segment splits the segment into two equal pieces and is perpendicular to the segment. • Find the equation of the perpendicular bisector of the segment with endpoints A (-4, 6) and B (8, 2)

  6. Find the midpoint of the given segment • Find the slope of the given segment • Find the slope of the line perpendicular to the segment • Find the equation of the line that is perpendicular to segment and contains the midpoint.

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