1. 3.6 Perpendiculars and Distance

2. Key Concept
The distance from a line to a point not on the line is the length of the segment perpendicular to the line from the point.
The distance between two parallel lines is the distance between one of the lines and any point on the other line.

3. Theorem
Theorem 3.9 – In a plane, if two lines are equidistant from a third line, then the two lines are parallel to each other.

4. Construction – Perpendicular Segment
Turn to Pg 160 – example 2.

5. Examples
1. Find the distance from line s  y = -x and V(1, 5)

6. 2. Find the distance between the parallel lines a and b whose equations are y = 2x + 3 and y = 2x – 3 respectively.

7. Homework
Pg 163 # 19 – 27, 34, 35
On 25 – 27 only find the distance between the point and the line.