Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our User Agreement and Privacy Policy.

Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. See our Privacy Policy and User Agreement for details.

Like this presentation? Why not share!

- Coordinate geometry by Sadia Zareen 17551 views
- Coordinate goemetry by Rahul Nair 2441 views
- Coordinate geometry by Ravichandran Keerthi 31671 views
- Coordinate geometry by nirmay by Nirmay Panchal 593 views
- Coordinate geometry ppt by LaJuana Ezzard 29011 views
- Coordinate geometry by Anju Soman 264 views

1,545 views

1,322 views

1,322 views

Published on

Math Session 4 Coordinate Geometry

Formulas for the Slope of a line, Midpoint, Distance between any two points,

Equations of a Line

No Downloads

Total views

1,545

On SlideShare

0

From Embeds

0

Number of Embeds

4

Shares

0

Downloads

70

Comments

0

Likes

2

No embeds

No notes for slide

- 1. COORDINATE GEOMETRY TIU Session 4 College Entrance Test Review
- 2. Rene Descartes <ul><li>Father of Modern Philosophy </li></ul><ul><li>Many contributions to math: </li></ul><ul><ul><li>Cartesian Coordinate System </li></ul></ul><ul><ul><ul><li>Which uses ALGEBRA to describe GEOMETRY </li></ul></ul></ul><ul><ul><li>Descartes’ Rule of Signs </li></ul></ul>
- 3. Cartesian Coordinate System X-axis Y-axis Point – described as an ORDERED PAIR
- 4. Recall: Undefined terms in geometry? POINT – now described as (x, y) LINE – we will define as an equation: where x & y are unknowns, and a and b are known quantities. PLANE – the Cartesian plane (previous slide)
- 5. “ Features” of a LINE <ul><li>SLOPE </li></ul><ul><li>MIDPOINT </li></ul><ul><li>LENGTH OF A LINE SEGMENT (or DISTANCE BETWEEN TWO POINTS) </li></ul>
- 6. SLOPE OF A LINE / LINE SEGMENT <ul><li>Steepness </li></ul>
- 7. SLOPE – usually computed using two given points <ul><li>Given the points </li></ul><ul><li>P(7, 2) and Q (3, -5) </li></ul><ul><li>in a plane. Find the slope of the line containing these two points. </li></ul><ul><li>the slope m of line </li></ul>is given by = .
- 8. Graph of: Line segment with endpoints (7, 2) and (3, -5). Plotted by www.wolframalpha.com.
- 9. MIDPOINT OF TWO POINTS <ul><li>Midpoint M of two points P and Q </li></ul><ul><li>Given the points P(7, 2) and Q(3,-5) in a plane. Find the midpoint of these two points. </li></ul>
- 10. Midpoint – is like getting the AVERAGE – is a POINT, so your answer must have two coordinates. – Get the average of the X coordinates, and the average of the Y coordinates Midpoint Formula:
- 11. Given the points P(7, 2) and Q(3,-5) in a plane. Find the midpoint of these two points.
- 12. Distance between Two Points (or the length of a line segment) Given the points P(7, 2) and Q(3,-5) in a plane. Find the distance between these two points.
- 13. How do we get the length of the hypotenuse of a right triangle? Pythagorean Theorem:
- 14. Distance between two points Distance Formula
- 15. PRACTICE TIME!
- 16. EQUATIONS OF A LINE

No public clipboards found for this slide

Be the first to comment