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LearningTarget7 Name_________________________________________________Section3.5a Period____________________
TypesofEquationsHomework
1. What does intercept mean in the expression slope-intercept form? For problems 2-4, write the equation of the line shown. 2. 3. 4. 5. Multiple Choice: Which equation is an equation of the line in the graph? a) ! = !
! ! b) ! = !!! ! + 1
c) ! = −2! d) ! = −2! + 1 Forproblems6-8,writetheequationofthelinewiththegivenslopemandy-interceptb.6.m=3,b=2 7.! = !
! , ! = 0 8.! = !!!! , ! = −12
Forproblems9-11,writeanequationofthelinethatpassesthroughthegivenpointPandhasthegivenslopem.9.P(5,4),m=4 10.P(-8,-2),! = !!
! 11.P(-13,7),m=0
Forproblems12-14,writeanequationofthelinethatpassesthroughpointPandisparalleltothelinewiththegivenequation.12.P(0,-1),! = −2! + 3 13.P(3,8),! − 1 = !
! (! + 4) 14.P(-2,1),10x+4y=-815.MultipleChoice:Lineapassesthroughpoints(-2,1)and(2,9).Whichequationisanequationofalineparalleltolinea?a)! = −2! + 5 b)! = !!
! ! + 5 c)! = !! ! − 5 d)! = 2! + 5
Forproblems16-18,writeanequationofthelinethatpassesthroughpointPandisperpendiculartothelinewiththegivenequation.16.P(-1,1),! = !
! ! + 10 17.P(2,3),! − 4 = −2(! + 3) 18.P(-8,0),3x-5y=6Forproblems19-22,Graphtheequation.19.x+y=1 20.–x+3y=-9 21.y+2=x–1 22.2y–4=-x+1
©A x2j011r1U 5KiuCtLaq bSfoEfttHwuaer6eF aL2LJCs.f L kAslHlE krvieg0hvtwsQ QrfeSsSeCrIvIeRdu.V k SMqazdUei swkiBtxhz dIRnLf7irnNiytoek xG9eXoAmleAtKr4y8.1 Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________The Midpoint Formula
Find the midpoint of each line segment.
1)
x
y
−4 −2 2 4
−4
−2
2
4
2)
x
y
−4 −2 2 4
−4
−2
2
4
3)
x
y
−4 −2 2 4
−4
−2
2
4
4)
x
y
−4 −2 2 4
−4
−2
2
4
5)
x
y
−4 −2 2 4
−4
−2
2
4
6)
x
y
−4 −2 2 4
−4
−2
2
4
7)
x
y
−4 −2 2 4
−4
−2
2
4
8)
x
y
−4 −2 2 4
−4
−2
2
4
-1-©A x2j011r1U 5KiuCtLaq bSfoEfttHwuaer6eF aL2LJCs.f L kAslHlE krvieg0hvtwsQ QrfeSsSeCrIvIeRdu.V k SMqazdUei swkiBtxhz dIRnLf7irnNiytoek xG9eXoAmleAtKr4y8.1 Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________The Midpoint Formula
Find the midpoint of each line segment.
1)
x
y
−4 −2 2 4
−4
−2
2
4
2)
x
y
−4 −2 2 4
−4
−2
2
4
3)
x
y
−4 −2 2 4
−4
−2
2
4
4)
x
y
−4 −2 2 4
−4
−2
2
4
5)
x
y
−4 −2 2 4
−4
−2
2
4
6)
x
y
−4 −2 2 4
−4
−2
2
4
7)
x
y
−4 −2 2 4
−4
−2
2
4
8)
x
y
−4 −2 2 4
−4
−2
2
4
-1-
©A x2j011r1U 5KiuCtLaq bSfoEfttHwuaer6eF aL2LJCs.f L kAslHlE krvieg0hvtwsQ QrfeSsSeCrIvIeRdu.V k SMqazdUei swkiBtxhz dIRnLf7irnNiytoek xG9eXoAmleAtKr4y8.1 Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________The Midpoint Formula
Find the midpoint of each line segment.
1)
x
y
−4 −2 2 4
−4
−2
2
4
2)
x
y
−4 −2 2 4
−4
−2
2
4
3)
x
y
−4 −2 2 4
−4
−2
2
4
4)
x
y
−4 −2 2 4
−4
−2
2
4
5)
x
y
−4 −2 2 4
−4
−2
2
4
6)
x
y
−4 −2 2 4
−4
−2
2
4
7)
x
y
−4 −2 2 4
−4
−2
2
4
8)
x
y
−4 −2 2 4
−4
−2
2
4
-1-
©A x2j011r1U 5KiuCtLaq bSfoEfttHwuaer6eF aL2LJCs.f L kAslHlE krvieg0hvtwsQ QrfeSsSeCrIvIeRdu.V k SMqazdUei swkiBtxhz dIRnLf7irnNiytoek xG9eXoAmleAtKr4y8.1 Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________The Midpoint Formula
Find the midpoint of each line segment.
1)
x
y
−4 −2 2 4
−4
−2
2
4
2)
x
y
−4 −2 2 4
−4
−2
2
4
3)
x
y
−4 −2 2 4
−4
−2
2
4
4)
x
y
−4 −2 2 4
−4
−2
2
4
5)
x
y
−4 −2 2 4
−4
−2
2
4
6)
x
y
−4 −2 2 4
−4
−2
2
4
7)
x
y
−4 −2 2 4
−4
−2
2
4
8)
x
y
−4 −2 2 4
−4
−2
2
4
-1-
©A x2j011r1U 5KiuCtLaq bSfoEfttHwuaer6eF aL2LJCs.f L kAslHlE krvieg0hvtwsQ QrfeSsSeCrIvIeRdu.V k SMqazdUei swkiBtxhz dIRnLf7irnNiytoek xG9eXoAmleAtKr4y8.1 Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry Name___________________________________
Period____Date________________The Midpoint Formula
Find the midpoint of each line segment.
1)
x
y
−4 −2 2 4
−4
−2
2
4
2)
x
y
−4 −2 2 4
−4
−2
2
4
3)
x
y
−4 −2 2 4
−4
−2
2
4
4)
x
y
−4 −2 2 4
−4
−2
2
4
5)
x
y
−4 −2 2 4
−4
−2
2
4
6)
x
y
−4 −2 2 4
−4
−2
2
4
7)
x
y
−4 −2 2 4
−4
−2
2
4
8)
x
y
−4 −2 2 4
−4
−2
2
4
-1-
GeometrySurvey Name_________________________________________________LT-7
MidpointFormula
Forproblems1-6,findthemidpointofeachsegment.Keepanswersinfractionform.1. 2. 3.
4. 5. 6.Endpointsareat (-1,-4)and(5,1)
Forproblems7-12,usethepointsgiventofindthemidpoint.Keepyouranswerinfractionform.7.(-4,4)(5,-1) 8.(5,2),(-4,-3) 9.(2,-1),(-6,0)10.(-1,-6),(-6,5) 11.(-1,1),(5,-5) 12.(9,3),(-5,0)
Forproblems13-18,findtheotherendpointofthesegmentgivenoneendpointandthemidpoint.13.Endpoint:(-1,9),midpoint:(-9,-10) 14.Endpoint:(5,2),midpoint:(-10,-2)15.Endpoint:(-9,7),midpoint:(10,-3) 16.Endpoint:(2,5),midpoint:(5,1) 17.Endpoint:(9,-10),midpoint:(4,8) 18.Endpoint:(-6,4),midpoint:(4,8)