Warm up

1. State the center and radius.

2. Write the following in standard form.

2 29 2 64x y

2 2 32 14 301 0x y x y

Center (-9, 2)r = 8

2 216 7 4x y

Review HW Questions over the ws?

Graphing Circles & Writing Equations

Skills Check

Lines and Circles

SOLVING SIMPLE INTERSECTIONS

A Circle and Line May:

Never Intersect

1 Point of Intersection

2 Points of Intersection

Solve by Graphing

Graph the circle and the line.

Tell the point(s) of intersection as an ordered pair.

Not as exact as algebraically.

1. Solve by Graphing 2 2 4

2 5

x y

x y

2 5y x

No point of intersection.

2. Solve by Graphing 2 2 9

3

x y

x y

3y x

(0, 3) and (3, 0)

Solve by Algebraically

Solve the linear for a variable. Substitute the linear into the circle Solve for the variable. Substitute your solution back into

the linear to find the other variable.

3. Solve Algebraically 2 2 34

2

x y

x y

2x y

2242 3yy

2 24 4 34y y y 22 4 30 0y y

22 2 15 0y y

2 5 3 0y y 5 and 3y y

25x 3x

3 2x 5x

3, 5 5,3

4. Solve Algebraically 2 2 10

3 10

x y

x y

3 10x y

2 23 010 1y y 2 29 60 100 10y y y

210 60 90 0y y

210 6 9 0y y

10 3 3 0y y 3y

33 10x 1x 1,3

Classwork Work with a partner. Work on both sides of the

worksheet. Get it checked off when

you are finished.