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

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Presentation transcript:

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.

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.

Find the shortest distance between a pair of parallel lines 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

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)

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.