Chapter 1 Test Part B

[nycmath]

Precalculus
Michael Sullivan
Edition 10
Chapter 1 Test Part B

See attachment.

[Eigenvalue]

Slope intercept form: y=mx+b
y+4=-2(x-3)
y=-2x+6-4
y=-2x+2

General form of a circle: (x-h)²+(y-k)²=r²
(h,k) is (4,-3)
r=5
(x-4)²+(y+3)²=25

x²+y²+4x-2y-4=0
x²+4x+4+y²-2y+1=9
(x+2)²+(y-1)²=9
Center: (-2,1)
Radius:3

[nycmath]

Slope intercept form: y=mx+b
y+4=-2(x-3)
y=-2x+6-4
y=-2x+2

General form of a circle: (x-h)²+(y-k)²=r²
(h,k) is (4,-3)
r=5
(x-4)²+(y+3)²=25

x²+y²+4x-2y-4=0
x²+4x+4+y²-2y+1=9
(x+2)²+(y-1)²=9
Center: (-2,1)
Radius:3

You are very talented.

[nycmath]

Slope intercept form: y=mx+b
y+4=-2(x-3)
y=-2x+6-4
y=-2x+2

General form of a circle: (x-h)²+(y-k)²=r²
(h,k) is (4,-3)
r=5
(x-4)²+(y+3)²=25

x²+y²+4x-2y-4=0
x²+4x+4+y²-2y+1=9
(x+2)²+(y-1)²=9
Center: (-2,1)
Radius:3

For 7 and 9 we are instructed to also graph the line. I will do that later at home. I will also do 10.