Day 8: Shortest Distance Between Two Points

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Presentation transcript:

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

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

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

It is also a perpendicular line

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

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

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

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

To Do… Worksheet Check the website daily for updates, missed notes, assignment solutions www.mrsmccrum.weebly.com New: note outline available the night before (completed note will no longer be posted)