1. Day 8: Shortest Distance Between Two Points
Unit 3: Coordinate Geometry
Did you know that the fortune cookie was invented in San Francisco?

2. Learning Goals
To be able to calculate the distance from a point to a line

3. The shortest distance between a point and a line is a straight line

4. It is also a perpendicular line

5. Steps Sketch! Find the slope of the line segment
The perpendicular slope = the negative reciprocal
Use this slope and the point given to solve for 𝑏
Give equation in 𝑦 = 𝑚𝑥 + 𝑏 form
Find the point of intersection between the two lines
Calculate the distant between the given point and the point of intersection

6. Find the shortest distance from the point B (−1, 3) to the line 𝑦=−𝑥+5.

7. Find the shortest distance from the point B (−1, 3) to the line 𝑦=−𝑥+5.

8. Success Criteria I CAN use perpendicular slope to create an equation
I CAN solve the point of intersection of two lines
I can calculate the distance between two points

9. To Do…
Worksheet
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