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13.1 Cooridinate Geometry

13.1 Cooridinate Geometry. Distance Formula :. Example: Find the distance between (-4,2) (2,-1). The equation________________________ ___________________________________ ___________________________________.

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13.1 Cooridinate Geometry

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  1. 13.1 Cooridinate Geometry

  2. Distance Formula: Example: Find the distance between (-4,2) (2,-1)

  3. The equation________________________ ___________________________________ ___________________________________ Example: Write the equation of a circle if the center is (2,-1) and it has a radius of 4.

  4. Find the distance between the following sets of points. • (-1,2) (7,5) • (-4, -1) (2,-3) • (-3,3) (3,-3)

  5. Find the center and the length of the radius of the circle with the equation of: Find the equation of the circle with a center at (j, -1) and a radius =

  6. 13.2 and 13.3 Slope of a line

  7. or _________________________________

  8. Slope can either be: • ___________________________ • ___________________________ • ___________________________ • ___________________________

  9. Parallel: ____________________________ • ____________________________________ • ___________________________________ • ____________________________________ • ____________________________________ • Perpendicular: ______________________ • ____________________________________ • ____________________________________ • ____________________________________

  10. Refresher: The equation of a line is:

  11. Find the slopes of the lines containing these points. • (3,-1) (5,4) • (-2,5) (7,2) • (3,3) (3,7)

  12. Tell whether the lines are parallel, perpendicular or intersecting given the there slopes. • m=3/4 and m=12/16 • m= -3/4 and m=4/3 • m= 3 and m= -3

  13. Given Points E(-4,1) F(2,3) G(4,9) and H(-2,7). Prove the shape is a rhombus.

  14. 13.5 Midpoint Formula

  15. Midpoint Formula: _______________________ • _________________________________________ • _________________________________________ • ________________________________________ • _________________________________________ • _________________________________________ • _________________________________________

  16. Find the Midpoint of the segment that joins (-11,3) and (8,-7)

  17. Given the points A(2,1) and B(8,5) show that P(3,6) is on the perpendicular bisector of AB. • First find the MP of AB • Then find the slope of the MP and P. • Compare it to the slope of AB

  18. Find the length, slope and MP of PQ: • P(-3,4) Q(7,8) • P(-7,11) Q(1,-4)

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