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Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Planes
Find the intercepts for each plane.
1) −12x − 16y − 16z = −48 2) 2x + y + z = −4
3) −x + y − z = 2 4) 4x + 6y + 3z = 12
Sketch each plane.
5) −8x + 12y − 12z = 24
z
y
x
6) 4x + 6y + 3z = 12
z
y
x
7) 3x − 2y + 3z = 6
z
y
x
8) −3x + 2y − 2z = −6
z
y
x
-1-
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Sketch each plane and write the equation of each trace.
9) x + y − z = 3
z
y
x
10) −6x + 3y + 4z = 12
z
y
x
11) 3x − 6y − 4z = 12
z
y
x
12) −3x + 2y − 2z = 6
z
y
x
Critical thinking questions:
13) Write the equation of a plane with the intercepts:
x-int = 2 y-int = −3 z-int = 4
14) Write the equation of a plane with a
y-intercept of 2 and an XZ trace of 2x + z = 8
-2-
©R I2A071s2Z oKeu4tcan tSIosfVtmwaaMrKey xLWLVCm.4 2 KASljlR grNiWgThttosn orNePsXemrYvlegdK.4 F 2MHaad8eX NwBiItEh2 3IVnhfni8nGiQt0eB 9AmlBg3eobxrYa4 G27.h Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2 Name___________________________________
Period____
Date________________
Planes
Find the intercepts for each plane.
1) −12x − 16y − 16z = −48 x-int = 4; y-int = 3; z-int = 3
2) 2x + y + z = −4
x-int = −2; y-int = −4; z-int = −4
3) −x + y − z = 2
x-int = −2; y-int = 2; z-int = −2
4) 4x + 6y + 3z = 12
x-int = 3; y-int = 2; z-int = 4
Sketch each plane.
5) −8x + 12y − 12z = 24
z
y
x
z
y
x
6) 4x + 6y + 3z = 12
z
y
x
z
y
x
7) 3x − 2y + 3z = 6
z
y
x
z
y
x
8) −3x + 2y − 2z = −6
z
y
x
z
y
x
-1-
©R Y2H0W1G2q LKOubtIaj FSpoafstNwLaxrCer kLULwC0.c V OAGlyl5 ErEi7gWhetmsI erGetsleRrNvieZdL.3 z nMKaod3eF dwGiFtEhk hIwnpfKiWnbiZt6ec QATlrgIerbfrSam a26.U Worksheet by Kuta Software LLC
Sketch each plane and write the equation of each trace.
9) x + y − z = 3
z
y
x
z
y
x
XY: x + y = 3 XZ: x − z = 3 YZ: y − z = 3
10) −6x + 3y + 4z = 12
z
y
x
z
y
x
XY: 2x − y = −4 XZ: 3x − 2z = −6 YZ: 3y + 4z = 12
11) 3x − 6y − 4z = 12
z
y
x
z
y
x
XY: x − 2y = 4 XZ: 3x − 4z = 12 YZ: 3y + 2z = −6
12) −3x + 2y − 2z = 6
z
y
x
z
y
x
XY: 3x − 2y = −6 XZ: 3x + 2z = −6 YZ: y − z = 3
Critical thinking questions:
13) Write the equation of a plane with the intercepts:
x-int = 2 y-int = −3 z-int = 4
6x − 4y + 3z = 12
14) Write the equation of a plane with a
y-intercept of 2 and an XZ trace of 2x + z = 8 2x + 4y + z = 8
-2-
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