Why m the Orchestra ^ an T Rating?
Write tlie eo^uation in tlie form indicated.
e(\uation,
then
this letter
write
the letter next to the
Circle
box containing
in each
correct
the exercise number.
In Exercises 1-7, write the equation in slope-intercept form.
l
Qy=3x-e
1/ + 8 = 3 ( x + 2 )
O
y= i x -1
O
y=
$, y - 9 = - 5 ( x - 2 )
©
y = - 5 A : + 19
@
y= - 5 x - 1
4. y + l = | ( x - 1 2 )
O
y=
1-^-4
O
y = | x - 9
5. y - 2 = | ( x + i )
O
y=
l^ + f
© y = | ^
I
y-5
=
^(x+4)
6. y - 4 = - l ( x - 3 )
7.
© y
Oy
y - 7 = - | ( x + 2)
=
-
|
-
y = 2x + 9
®
-2x+
Q
- 4 x - 3y = 1
y-9
Q
4x+ y= - 1 5
y = ^ ^+ 8
0
O
014x
4
10
\t
+ 8y=-8
9
$
I
7
5x4- B y = 24
- 4 x + y = 15
1000
% soo
/
0 600
1
400
^
200
5
\i
11
1
9
5
14'
Supemnan
/
5000
I? 4 0 0 0
r
0 3000
1
/
0
5y = 4
0 - 1 4 x + 8 y = - l
Speeding Bullet
extra: Comparing Slopes
1. Which of these two graphed
lines has the greater slope?
2. What Is the slope of the
speeding bullet graph?
3. What Is the slope of the
Superman graph?
4. Which is faster. Superman
or a speeding buUet?
3
1 14
-4A: + 3y = - 3
-16x-
y = - 4 ^ - 15
%
Q
0
11
\$
2Ar-
16x + 5 y = 4
5 A : - 8 y = 15
\$
y= 9
©
- 3 x + lOy = 80
®
'6
1
- 3 x - lOy = 60
y = - | x+ 3
14. y = | x - i
4^ + f
0
0
0
10.
11
+ |
Oy=-|x+|
f
In Exercises 8-14, write the equation in standard form with integer coefficients.
g.
=
+7
y
2000
1000
2 5 4
time (s)
5
0
1
2 3 4
time (s)
5
PUNCHLINE • Algebra • Book A
©2006 Marcy Mathworks
Linear Equations and Their Graphs:
Changing the Form of a Linear Equation
7.15
VThat Do Y o u C a l l Two Birds
Relaxing I n 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 DONT
cross out, write the uppercase letter in the box with the lowercase letter.
In Exercises 1-5, write your answer in point-slope form.
1. (3. - 4 ) ; m = 2
I. (-1.5): m = - I
o•D
Answers 1-5
@Oy+2 =4(x-9)
J. (8.0); m = I
4. (-2. - 9 ) : m = - - i
f .R y +4
y + 6 = -3x
c A
y +5
y - 5
1.1
y - 6
= -|(x+l)
y +9 = 1 ( ^ + 2 )
y = -|(x+8)
5. (O. - 6 ) ; m = - 3
•I'
In Exercises 6-10, write your answer in slope-intercept form.
6. (8. 5); m =
I
Answers 6-10
7. (4. -1); m = - 2
y =
8. (-a2);m = |
y = -2x +3
9. ( - 7 ,
y = 5x - 2
y = -2x +7
+12
m.N y = | x + 7
15
-4); m =
b . B y = 5 x - 12
y = 1-^^+3
10. f . o j ; m =
In Exercises 11-15, write your answer in standard form with integer coefficients.
2
- 2 x + 5 y = 20
11. ( - 5 . 2 ) ; m = I
Answers 11-15
(-a
3 x - 8 y = 20
d.S
- 9 x - 4y = -15
I J . (3. - 3 ) ; m = - |
o . E 4x + y = - 2 5
h-G
y =-9
,m
k ' B - 2 x - 5y =15
i .R -4x + y =- 9
3x + 8y = -15
- 9 x + 4y = 2
12.
14.
15.
C
16
-l): m = - 4
-
e.K
.-9 : m=0
i
g
Linear Equations and Their Graphs:
Finding the Equation of a Line Given the Slope and a Point on the Une
7.16
J
m
PUNCHLINE • Algebra • Book A
©2006 Marcy Mathworks
V b a t Is t h e title of tfjis Picture?
Write tlie ec^uation of the line through the two
given points, then find your answer in the mewer
columns. Each time the exercise number appears
in the code, write the letter of the answer above it.
Coded title:
9
5
2
12 4
11 7
12 4
11 6
11 4
12 5
11 fi. 1 12 3 10 7
1. (3.1). (9. 5)
2
Answers 1-6:
©
y = |x + 7
2. (1.1). (-2, 7)
©
y = |x+l
©
y = -2x + 3
5 . (-4. - 3 ) , (8,0)
©
y = - | x - 4
O
y =-ix+1
4. (-1. 4), (-4, - 5 )
©
y = - | x - 4
©
y = 3x + 7
5 . (0. - 4 ) . (-4, 6)
© y
= | x - l
©
y = -fx+ 3
6. (-a3),(a-i)
©
y = 3Ar - 2
© y
=
1
7. (-1. - 6 ) . (-3. - 8 )
Ansvcrs 7-12:
S. (-1.3), (3.5)
©
©
9 . (-2.5), (1.-7)
10. (1,2).
n.
(-1.4)
(1,3). ( - 7 , - 3 )
12. (-3,8), (0,0)
y =
1^ + 1
©
y =|x-3
©
y = -x +
l
1
y = |x
©
y =
© y = ^ x + |
®
y = -4x + |
3^
©
y=
1
©
y =X - 5
©
y = -4x - 3
©
y =|x-5
Linear Equations and Their Graphs:
Finding the Equation of a Line Given Two Points On the Une
7.17
+
PUNCHUNE • Algebra • Book A
©2006 Marcy Mathworks
Did You Hear About the Mathematician Vl/ho Vl/anted to Make a
^^^^lll^^^/l. Cn tia RAiiftlit ^i\mn Ahhiao An/I Hp/ivi/iao
7
TO FINP THE FINAL WORDS OF THIS QUESTION: Cross out the letter pair
next t o each correct answer. For each letter pair t h a t you DON'T cross
out, write the uppercase letter in the box containing the lowercase letter.
Part A. Write an equation 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 = 1^-7: (7.2)
OE|y+
©
fJQ y + 4 =
2x + 5y = 15: (4, - 4 )
y-2 = |(x-7)
7= |(x-2)
-|(A: -
q • A y + 4 = | ( x - 4)
4)
In Exerdses 3-4, write your answer in slope-intercept form.
Q
O
Q O y = 3A: - 5
-3A: + y = 8; (-1, 5)
X -
4y = 4:
(a 3)
y =
-\x+3
y = 3x + 8
in Exercises 5-6, write your answer in standard form with integer coefficients.
© 2x + 3y = 30; (2, -5)
©
fSSi 2x + 3y = -11
y - 5x + 2 = 0; (-3. - 8 )
f
-5x + y = 2
2x - 3y = 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 = - i x + 3; (-4. 7)
©
8x - 3y = 12; (6, - l )
y+1
y - 7 = - 2 ( x - 4)
= - | ( ^ " 6)
y+l=|(x-6)
BWmm y - 7 = 2(x + 4)
In Exercises 9-10, write your answer in slope-intercept form.
O
2x + 5y =10; (4,9)
y=fx+4
®
6x - y - 5 = 0; (-3,2)
y =
- y
g
i ^
g.R
y = f x - l
+ f
In Exercises 11-12, write your answer in standard form with integer coefficients.
®
4x + 3y = 24; (-5,0)
QO
7x + 2y = - 1 2
®
2 x - 7 y + 2 1 = 0 ; (-1,-4)
BQ
3x - 4y = 8
Q
- 3 x + 4y = 15
7x + 2y = - 1 5
Part C Write an equation for the line that contains the two given points.
Write your answers in siope-intercept form.
®
(3,2) and (9,12)
y = | x - 6
m •O
©
(-1. - 4 ) and (8. - 8 )
y = 3x - 8
n .A
©
(-2.0) and (-7,15)
y = _ 4 ^ _ 40
(
b
c
d
e
f
g
h
1
J
Linear Equations and Their Graphs:
Equations for Parallel and Perpendicular Lines in Different Forms
7.19
k
1
m
h .D
n
o
y= | x - 3
y= -3x - 6
y=
P
q
r
s
PUNCHLINE • Algebra • Book A
©2006 Marcy Mathworks