Name: ___________________________________________________ Period: ______
Chapter 4 Review Packet
Write an equation of the line in standard form with the given slope and y-intercept.
1. slope: 4 y-intercept: (0, 12) 2. slope: − 3 y-intercept: (0, –12)
4
3. slope: 1 y-intercept: (0, - 2 ) 4. slope: –3 y-intercept: (0, 1 )
2 5 8
Write an equation in point-slope form of the line that passes through the given point and has the given
slope.
5. (3, 4) m = 5 6. (7, 0) m = –1
7. (3, –9) m = 1 8. (–1, –2) m = − 2
2 7
Write an equation in all 3 forms for the lines shown.
9.
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
10.
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
11.
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
12.
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
Write an equation in all 3 forms for the lines with the given values.
13. (2, 4), (5, 7)
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
14. (–9, –1), (9, 7)
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
15. f(–5) = –1, f(–3) = 7
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
16. f(0) = 2, f(3) = 2
__________________________
Slope–Intercept
__________________________
Point–Slope
__________________________
Standard
Write an equation in the requested form of the line that passes through the given point and has the
stated relationship to the given line.
17. In slope–intercept form, goes through (2, 3) 18. In standard form, goes through (–4, 0)
Is parallel to y = 3x – 1 Is parallel to y = 2/3x + 1
19. In point–slope form, goes through (–4, –2) 20. In point–slope form, goes through (–2, 7)
Is perpendicular to 4x – 2y = 10 Is parallel to 2x + y = 6
21. In standard form, goes through (0, –2) 22. In slope–intercept form, goes through (3, 2)
Is perpendicular to –4x + 4y = 4 Is perpendicular to y + 3/4x = – 2
Create a scatter plot of each set of data & use it to answer the questions that follow.
f
f
23.
x -3 -2 -2 -1 -1 0 1 2 4 A) What type of correlation does the data show. EXPLAIN.
y -3 -3 -1 -2 1 0 -1 2 4 _________________________________________________
_________________________________________________
B) Draw a best–fit line through the data. Write the equation
of your line in slope–intercept form.
_____________________
C) Use the equation to determine what y would be if x
was 30.
________
D) Use the equation to determine what x would be if y
was –30.
________
24. x –5 -3 -2 -2 0 2 2 4 4 A) What type of correlation does the data show. EXPLAIN.
y 2 2 0 -2 0 -1 –3 -2 –3 _________________________________________________
_________________________________________________
B) Draw a best–fit line through the data. Write the equation
of your line in slope–intercept form.
_____________________
C) Use the equation to determine what y would be if x
was 20.
________
D) Use the equation to determine what x would be if y
was –10.
________
Hours past 12:00pm (x) 0 1 2 4.5 5 6.5 8 9.5 10
25.
Hungry People (y) 1 2 5 9 8 10 12 13 15
A) What type of correlation does the data show. EXPLAIN.
____________________________________________________________
____________________________________________________________
____________________________________________________________
B) Draw a best–fit line through the data. Write the equation of your line
in slope–intercept form.
_____________________
C) Use the equation to determine how many hungry people there would be 15 hours after 12:00pm.
D) Use the equation to determine how many hours would have passed when there are 22 hungry people.
E) What does the slope of the line F) What does the y–intercept of the line
represent in this situation? represent in this situation?
ANSWERS: 23. a. positive, because as the x–values increase, the y–
1. –4x + y = 12 values also increase
13. SI: y = x + 2
2. 3x + 4y = –48 PS: y – 4 = (x – 2) b. y = x (answers will vary depending on the line you drew
3. –5x + 10y = –4 by hand)
St: –x + y = 2
4. 24x + 8y = 1 c. y = 30 (answers will vary based on your own equation)
14. SI: y = 4/9x + 3
5. y – 4 = 5(x – 3) d. x = –30 (answers will vary based on your own equation)
PS: y + 1 = 4/9(x + 9)
6. y = –(x – 7) 24. a. negative, because as the x–values increase, the y–
St: –4x + 9y = 27 values decrease
7. y + 9 = 1/2(x – 3) 15. SI: y = 4x + 19
8. y + 2 = –2/7(x + 1) b. y = –1/2x – 1 (answers will vary depending on the line
PS: y + 1 = 4(x + 5) you drew by hand)
9. SI: y = 1/4x + 2 St: –4x + y = 19 c. y = –11 (answers will vary based on your own equation)
PS: y – 3 = ¼(x – 4) 16. SI: y = 2 d. x = 18 (answers will vary based on your own equation)
St: –x + 4y = 8 PS: y – 2 = 0 25. a. positive, because as the number of minutes increase,
10. SI: y = –1/2x + 2 St: y = 2 the number of hungry people increases
PS: y – 1 = –1/2(x – 2) 17. y = 3x – 3 b. y = 7/5x + 1 (answers will vary depending on the line you
St: x + 2y = 4 18. –2x + 3y = 8 drew by hand)
11. SI: y = –4/5x + 4 19. y + 2 = –1/2(x + 4) c. About 22 hungry people (answers will vary based on
PS: y = –4/5(x – 5) 20. y – 7 = –2(x + 2) your own equation)
St: 4x + 5y = 20 21. x + y = –2 d. About 15 hours after 12pm (answers
12. SI: y = –3x – 17 will vary based on your own equation)
22. y = 4/3x – 2
PS: y – 1 = –3(x + 6) e. 7/5 = 1.4 means there are about 1.4
St: 3x + y = –17 more hungry people per hour
f. 1 means that at noon (time 0), there
would be 1 hungry person
Name: Period:
\-H
E Reviewpacket
- ltl*f;r,
torrn d,c*uen tp su*daril--Ql$#u.
.\.*r
Writeanequationofthe..n",n@withthegivenslopeandy.intercept.[xoT.I'-*g
ard
1. slope:fl f-intercept: (0, 1) 2. slope: -3-Qy-intercept: -rt_
t
' a
sirrex,orllisB
= -i*-'t'l iirccl=or:ra.isE
-4v I|-ta
-')'= -Ltx J .r$rocr"orrsr'5exbJ dcntrrninat,f
-t{Y,tl
-tlv+{--rn =ta -;Lfr
'l
3X + uty= -tg
3. slope: I y-intercept: (0, - 2,, slope: -3 y-intercept: 10, { )
2 5)
LCD o[
l=
,lo
rx-e
.10 .t0
z {:
5o E
is to,
bSlo Y: -3x+I
'{ 't 'i oo +roc}i6n5 t 50 x by dqomrnoff
lo\=5x-T n\. -atX r
-bx -5Y *aql +2tX
I
-bN +t0J = -T
a';X+S.l =l
Write an equation in point-slope form of the line that passes through the given point and has the given
slope.
6.(7,0) m=-1
\ -0 = -t (x-r)
',1
,/''1t\*t*PH"
J = -(X-1) !e'invisrb\C.
8.(-1 ,-2)m- -27
z
\* 2= 7 k*r)
coo
Write an equation in ail 3 forms for the lines ,..vgpllx-
shown y'?" '
ofi-Vnt
m=t b=?. ?".nl$e. t
\= tx*a J-3={(x-+)
\t - 3 = + (x-+)
Y=Ix+x Point-Slope
.i.;{ .r{
-x +{v=8
Hr.l:
t X +8 I Standard
- x -1
-Xt4J'8
-L
nn= b=Q point t+, ,) \ : -tx ra
I Slope-lntercept
) =-*xta r-rfrft-a) \re-l = -!a(x-a)
y'-!aX+a
.h 'a. '3
{na}=t**
-X t
l\ I " +X Ll
rX
x*al = t
11. 1d _y
L{
rn -- "* b , + goint t?rr)
{i, *1b*
\=-tx*t J,I+, rc\.-+X+Lt
1I = -B(x-st
:i*f\ \
; tC1)=-tx*l
,b'2
,=-rr[x-a) point_Stope
v
,-t{X+30
+x+E)=?o
6.,11 , Standard
fltYl +Llx
4 x* 5j : AO
fn=-3 b-l foint L*r,,)
{-
-E J-l=-a(x+G)
6-
r,-+Gil .{ -l . -3Cx.+ bJ
)-l'-7Y-18 r point_Slofe
'+l
Y
+l 3X +.1 + -lT
I Standard
\---3X-t7
15\ +)x
3X+J=-t7
write an equation in all 3 forms for the lines with the given values.
13. (2, 4), (5,7)
p1^1= l:5- =* =l
2''d' '/
.,-l%,,
! -'t = K-e ',1 = Xt f,
+t ++ I Slope-lntercept
Y =Xla \-+=X-a
-wl,\r\- -v I point_Stope
-x+Y =a -x+YI = a Standard
/ry}
14. (-g, -1), (9, D
m= 1-:kl
lt I \+
l+q =1-=5-
'1ll=qx:,+
Y
= tX +,,#,=,,",*a
tx* '1?
.q= .q !I + I = t(x+q) point-s(ope
1{=4xta-l
-LlX'-tx -ttX+9v=?1
- Ltx r qY = ?.J I Standard
15. (-5) = ;1, f(-3) = 7
(-5,-t ) \'1,t1 t?J)
>%
m: l-*l *S- = 4
-a+5 a I
l-f,'tE,
rlx*-10
1:1" = tfy,+l
t'
1: \1+ll
-'tx *(xtS)
-qx . \+t=
I Point-Slfpe
-\x *Y = l1
-+xr)=19
. sEnoaro
16. (0) = 2, f(3) = 2
(93) (a, a1
bz a-
rn=+-t=9=@
?.oc \=2
\?,?) I Slope-lntercept
1=Y,^ J-a,S? 1-?=Q,,*=*
)=1
I
crnl +hin( ,F 0
is 0../so
:i'rrrelrFSl
1=a .{ -a: Q
write an equation in the requested iorm of ffre rine thaf ptsses th e
stated relationship to the given line. *l nnnLhpr
-. .^,t
Ax + B! "c <r drart
:-Ynxtb
17.lnFtqp:!@@}goesthroudn69ra.rngoesthrough(]+,o) il*ilft.nn
I;r'
ls parallelTo = 3x-
'allelto y =3x=1 1 r-Fffii]o y -:2lsx+ 1
J
-q= aG*)
t=2 ^,Ho#fti?;'"'*i'"':ir*"
,r3) 6\op€-intcrug*.
*L$urut 'trL!'*r'" rrn:} j=txt$
l v'
vl=3
G,6 l-3 = {(Ta1 )
m=+
3 "b 'z 5
'3 '-
\ -3 = 3x-b " / -*I'
Ct,o) -
..1I -g
v <_ ^lt .1i=
_q.xr3J=g
=3x-3 '1
rs.|n@9oesthrou9h(-4,-2)2o'ln@;goesthrough(-2,7|
-c
ls perpendicular to.LI - 2y = .1,9. ts Eililleffioffi O
m'a (-a,r)
J*e= *(x++)
1-1 = -^(x+a)
21.ln Eiffinil goes through (0, -2) 22. lnf,Se--intercep
I -.\-'H:i'
goes througn (3, 2)
ls perpendicular to -4x + 4y = 4 lsffiax=-2
+qx
+,{y -frx -?x
}x=tX't
Ll' .'l + s -\fn=-fi
J=-tx-a
(0,151 (2, a)^*__
\=-X-?
.xt +* Y -A= \(*-t)
X*J = -)
V-a=
'+a fux-t
*;L
Create a scatter plot of each set of data & use iltoJnavver the quegtlAnq ttra'tlgflour
A) WhaTtype of correla'tiion does the data show. EXPLAIN.
w. x *3 1 *l
ab. -2 -l 0 2 4
v -3 -J *l ,)
I 0 -I ) 4
EI besl- B) Draw a best-flt line through the data. Write the equation
fi\ linc of your line in elope-intercept form.
rn= |
b=0
[x*0 was 30.*.-t)
, 'l= \ =x
J =30-
l:_l;l5ir
't=x 'l =30
D) Use the equation to determine what x would be if y
was -30,4 { --x
.
I v=_3!
-30 =X
a+.
Nl x --5 *3 I
-2 0 2 2 4 4
A) What type of correlation does the data show. EXPLAIN.
v 0 1 *l *3
2 2 0 -3 -2 the x -vc\ues incre
B) Draw a best-fit line through the data. Write the equation
of your line in slope-intercept form.
C) Use the equation to determine what y would be if x
-*[ao) -t
was 20.
J= '
'l=-,P.-, J=-ll
D) use ,nJ;;i!"n ro determine what x woutd be ir y
was-10'
-\0i -at.)'+l
-l
rr I . K=lS
U
1 ut8&[5prst 12:oopm (x) 0 2 4.5 5 b_ -) 8 9.5 t0
I
1 Hungry People (y) 1 2 5 I 8 l0 t2 t3 l5
I
1
A) What type of correlation does the data show. EXPLAIN.
B) Draw a best-fit line through the data. Write the equation of your line
I I I I I I I t_t I t.rinslope-interceptform.
56r8310t.12'314ts^
\= ex+ I
sbtof-nHt5u b=r
C) Use the equation to determine how many hungryfeople there would
*r
U"[ rY after 12:00pm.
l=,*(4) Abou*
\' a ttl aNryg-tsoP\e
'.{ = 2A
D) Use the equation to determine how manf hours would have passed when there are h
Y
aai tx".t 4\aou&
\5 hours q$ttr
1a100 Prn .
x, (1:00 g'nn)
