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.