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
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.