13.1 Cooridinate Geometry.

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Presentation transcript:

13.1 Cooridinate Geometry

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

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

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

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 =

13.2 and 13.3 Slope of a line

or _________________________________

Slope can either be: ___________________________

Parallel: ____________________________ ____________________________________ ___________________________________ Perpendicular: ______________________

Refresher: The equation of a line is:

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

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

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

13.5 Midpoint Formula

Midpoint Formula: _______________________ _________________________________________ ________________________________________

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

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

Find the length, slope and MP of PQ: