-air-
Why Pid the Orchestra ^ aw r Rating? Write tlie eo^uation in the form indicated. eo[uation, then write this letter in each
Circle the letter next to the correct box containing the exercise number.
In Exercises 1-7, write the equation in slope-intercept form.
1.
tj=5>>c-7,
y + 8 = 3(x+2)
© y = 3 x - 6
O 3. y-Q 4.
= -5(x-2)
( ^ y = - 5 A : + 19
<^-z-5y, 4^|g)
O
y + l = | ( x - 1 2 )
6 . y - 4
y =- 2- ^ y = - 5 x -1
y = f x - 4
= 4 ( x - 3 H . ^ ^ ^ ^
=
|(x+2)cj>-|.^^f
Q
Q y
- | x - 9
5-^^
5
a-*
3
©
y=l^
®
y=
0)y
-
=
+l
5^^ 5 3^^
3
In Exercises 8-14, write the equation in standard fomiwrith integer coefficients. g. y = 2 x + 9 9. y = | x - l
'Z^-t^--'^
(©)-2A:+y = 9 © - 4 x - 3 y = l
4v<-3v)-. 3
10.y=-|^+3
^
14. y=|^-i Wy-^j^-. t
Q
Q
4
10
1
C
1. Which of these two graphed lines has the greater slope? ^
3. What is the slope of the Q Superman graph?
^
3x+
+ 5y=4
14x + 8 y = - 8 9
7
5 ^ y AN
^
1000 ^ „ „ ^
14x+ 5 \
11
9
\
Superman
^T-
4000
/ /
1^ 4 0 0
4. Which is faster. Superman or a speeding bullet? *^\>^Uvtx^^^
8y = - 1
5000
S 600 ^
l O y = 80
@ - 1 6 x - 5 y = 4
Speeding Bullet
ejctra: CompariHg Slopes 2. What is the slope of the speeding bullet graph?
0 - 4 x + y = 15
©-3x-10y=60
\^yv^tj-^
13
y = 9
® ) - 4 x+3 y = -
(0)4A:+ y = - 1 5
U [ . y = i | ^ + 8 "^y-VOu^ r y = - f ; ^ + |
2A: -
^ ( ^ S x - f 8 y = 24
^%'r^<^z'L'\5
11 y = - 4 A : - 15 My
Ig.
©
>
200 0
/
1
Linear Equations and Their Graphs: Changing the Form of a Linear Equation
2 3 4 time (s)
>
S 3000
5
I
2000
^
1000 0
y
/ 1
2 3 4 time (e)
5
PUNCHLINE • Algebra • Book A ©2006 Marcy Mathworks
7.15
VThat Do You Call Two Birds Relaxing In the Midday Sun? ^ Find the ecjuation of the line through the given point with the given slope. Cross out the letters next to each correct answer. For each letter pair you PONT cross out, write the uppercase letter in the box with the lowercase letter. In Exercises 1-5, write your onswer in point-slope form.
1. (3, - 4 ) ; m = 2
Answers 1-5
E|y +2 = 4(x-9)
Z. (-1.5); m = - |
B
y + 6 =-3x
4. - 2 , - 9 : m = - - i
5. (0, - 6 ) ; m = - 3
y - 5 = - | ( x + i)
y =
^
+ 8)
y+9
= -i(x+2)
y=
2^
In Exercises 6-10, write your answer in slope-intercept form. 6. {8,5);m
= ^yi^X-^2>
Answers 6-10
hy = - 2 x + 7
7. (4. -1); m = - 2 j - . - Z ^ c - t T - I H i y = | ^ + 1 2 8. (-a
m • Nl y
2); m = I ^ z ^ y ^ f 12. Q i } y = - 2 A : -i- 3
9. (-7, - 4 ) ; m =
. ^ - | B J y = 5x -
2
15
b.BI
= |x +7
y=
5A: -
12
1^
10.
y=
;m = 5
2-^
2
in Exercises 11-15, write your answer in standard form with integer coefficients.
11. ( - 5 , 2 ) ; m = 5I 12.
-a - 1 ; m = - 4 ^
I J . (3. - 3 ) ; m = - |
3x -8y ^ I
4A: -i-
C
16
= 20
-9x
y = -25
,-9 ; m =0 b
e>
)p
ft
SA:
5
e
f
g
N
-4x
+ By = -15 h
Linear Equations and Their Graphs: Finding the Equation of a Line Given the Slope and a Point on the Line
7.16
J
o
- 4 y = -15
y = -9
- 2 A : - 5 y = 15
0.1 15.
2A- + 5y = 20
Answers 11-15
+ y = -9
- 9 A : -F 4 y = 2 k
1
m
n
^l s
PUNCHLINE • Algebra • Book A ©2006 Marcy IVIathworks
Wbat Is t b c title of t ^ i s Pictare? Write tlie eo^uation of the line through the two given points, then find your answer in the answer columns. Each time the exercise number appeare in the code, write the letter of the answer above it.
Coded title: 5 £ . A A i . :2 _ a
9
5
11
2
12
4
11
7
12
4
11 6
2
4
12
5
11 a-
1
12
3
7
10
1. (3.1). (9. 5)
© y
Ans^^ers 1-6:
= |x + 7
2, (1.1). ( - 2 , 7 ) (^---t'X^+-3)
= -2x +3
^ = 4A:+1
5. ( - 4 , - 3 ) . ( 8 , o ) ^ ^ ' l f 4. (-1, 4), ( - 4 . - 5 )
^-^V-^l© \ 3x + 7
5. ( 0 . - 4 ) . ( - 4 , 6 )
v j ^ - 4 y =
6. (-a3).(a-i) ^> - ^ y ^\
7.
(-1, - 6 ) , (-3, - 8 )
6. (-1.3), (3,5) y
9.
( - 2 , 5 ) , (1.-7)
hrf^ ^
\
ijz-4v-3
y = -|x +3
Answers 7-12:
©
y
I®
I
y = 3A:
©
.0.(1.2),(-1,4)
y
-
2
= 1-
/y = 2 ^ ^ 2
11. ^ ^ 3 ) , ( - 7 . - 3 ) J 1 2 . ( - 3 . 8 ) , (0,0)
©
©
^
1^-1
^
© /®)y
^
© \ -4x-3
Linear Equations and Their Graphs: Finding the Equation of a Line Given Two Points On the Line
7.17
^x-3
-Iy
-4x + | = x - 5
© y = |x-5
PUNCHUNE • Algebra • Book A ©2006 Marcy Mathworks
Did You Hear About the Mathematician lA/ho Vt/anted to Make a ^^^l^ll^^^/l.
Ahhian /iM/l Hiiytinnao
CA U A PAIIAU^ CAMIA
7
.TO FINP THE FINAL WORDS OF THIS QUESTION: Croee out the letter pair next to each correct an&wer. For each letter pair that you DON'T cross out, write the uppercase letter in the box containing the lowercase letter. Part A. Write an equotion for the line that is parallel to the given line and contains the given point, in Exercises 1-2, write your answer in point-slope form.
O y
= f4 .^. - 7 : (7 2)
aE|y
© 2 x + 5 y =15: (l^^-4)
+7= |(x-2)
y
2=|(x-7)
y + 4 = | ( x - 4)
/
In Exercises 3t^T ^ write ^r^nswer in slope-intercept form.
y = 3A: © . - 4 „
= 4:(63)
^ ^ ^ ^
=
-
3A: +
5 8
4^ ^ 2
In Exercises 5-6, write your answer in standard form with integer coefficients.
©
2 x + 3 y = 30; (2, -5)2.>c*''ij)'-^^(
2x + 3 y = - 1 1
-5A: + y = 2
©
y - 5 x + 2 = 0; (-3. - 8 )
2x - 3 y = 8
-5x + y = 7
Part B. Write an equation for the line that is perpendicular to the given line and contains the given point. In Exercises 7-8, write your answer in point-slope form.
O y ©
8 x - 3 y = 12; (6.^-l)-3
y - 7 = - 2 ( x - 4)
+i = -|(x-6)
= 4--*-3:yM.7^^^^^^^ aEH/
BEtv
I'
y+l=|(x-6)
- 7 = 2{x + 4)
in Exercises 9-10, write youran^Mir in slope-intercept form.
©
2 x + 5 y =10; (4,9)^
y=|x+4
S> 6x - y - 5 = 0; (-3.2^^^^^
=
g.R
y = | x - l
+ §
In Exercises 11-12, write your answer in standard form with integer coefficients.
©
4 x + 3 y = 24; ( - 5 . 0 ) ^
®
2 x - 7 y + 21 = 0; ( - 1 . - 4 )
7x + 2y = -12
3x + 4 y = 15 .7x + 2 y = -15
Part C Write an equation for the line that contains the two given points. Write your answers in slope-intercept form.
=
©
(3.2) and (9,12)1^- |>ft- 3
y
©
(-1. - 4 ) and (8. -8)t^-^)C-^'-^
y = 3x - 8
©
( - 2 . 0 ) and (-7.15) y-. .3^. b
c
= 1^ 4
f
k
0 Linear Equations and Their Graphs: Equations for Parallel and Perpendicular Lines in Different Fonns
7.19
y = -3x- 6 40
1
m
h.D
y =-|x+ 5 s ft.
PUNCHLINE • Algebra • Book A ©2006 Marcy Mathworks
