1. Analytic Geometry Group Members Include: Taylor, Suzanne, Analynn and Kerry

2. The Areas of Analytic Geometry E quation of a Circle Coordinates Solving Equations Algebraically Distance and Angles

3. Equation of a Circle A circle is the set of all points (x,y) that are an equal distance from a point which is called the centre of the circle.

4. The Distance r: Is the distance between the centre of the circle and one of the points (x or y) is called the radius.

5. r 2 = x 2 + y 2 This formula is used when the centre of the circle is located at the origin (the origin is the coordinates 0,0) (5, 3) r 2 = 5 2 + 3 2 r 2 = 25 + 9 r 2 = 34 r =

6. If the centre is located at some point (h,k) then the distance from the point (h,k) to any point P (x,y) on the circle is: r 2 =(x-h) 2 +(y-k) 2 (x +1) 2 + (y-2) 2 = 20 

7. The equation can come in two different forms. The one above or x 2 +y 2 +dx +ey +f = 0 if it comes in this form we can convert it to the first form by completing the square. 4x 2 + 4y 2 + 20x - 16y + 37 = 0 4x 2 + 4y 2 + 20x - 16y + 37 = 0General form x 2 + y 2 + 5x - 4y= 0Divide by 4. Group terms. Complete the square by adding and 4 to both sides. = 1Standard form

8. How To Graph By: Taylor Gouzecky

9. Solving linear equations by graphing is simple, here are steps to help you through the equation y=2x+3. First draw a t-chart.

10. The left column contains x-values and the right has y-values. Pick some values for x, it’s good to pick at least three.

11. Once you choose the x-values, add them into the equation figuring out the y- values.

12. Now that you have your x and y values, put them into a graph.

13. Now plot your points. Connect the dots.

14. The questions get harder, you may get one like : 4x-3y=12 Find out what y is: So your actually graphing

15. Make a t-chart. Put the points in and draw the graph