Date:
Name:
Period:
Cumulative Review Test #2 ReVieW-Graphing Linear Equations
Three types of equations
b,
Slope Intercept
c. Point Slope
a. Standard Form
b=
i
m =
Three Ways to Graph
II.
Using Standard Form
8x+6y=24
Using y=mx+b
2
y=ÿx-3
\
" -6 -5 -4 -3 -2 -10
Steps:
Steps:
d
Using Point-Slope:
Steps:
(-S,S) (-7, 3)
,x' l ÿ.I
7
rÿ-i-.-i-oÿ
!-
..............
" -6 -5 -4 -3 -2 -10
i_I
-i
I I -Tl-7] >
[ 234 5 6
,
]Iÿ
.,>, ÿ 0\)!?!;\
III.
How to find Slope
Using a graph
Using the Formula
Formula:
ft;yÿ
I Iÿ l.fi i iÿI
Y2 - Yl
Ay
X2 -- X1
Ax
(3,4) and (-7,5)
5ÿ- 'L
....
ÿ-,
I L_.l._t._i ......... L.!..L I
IV.
Vertical and Horizontal Lines
Vertical
Horizontal
,4
t
if
l
V.
Direct Variation
Is it direct variation?
Graph
Write the direct variation equation
•
>> ,
Equation
i S) 'ÿ
Vl,
e;'7
J
/- t,
tjt '
Directions: Find the slope for each of the following graphs.
;i il
1. m =
ÿ--:I
"
2. m =
ÿ
3, m=
!I
I
[
L_
t
F
!!! !
t
I
L_
ki
Directions: Solve for Y. What is the Slope and y-intercept?
Slope
Y-intercept
,
4x+y=l
°
6x - 3y = -9
'7
o I<<;oÿ
°
2y + 6 = 12x
• • !;,?
Using the standard form of a line; find the x & y intercepts and graph.
7.
7x-7y=42
8.
4x+8y=16
i-Illl
31-
i
I
I
i
L_
i?
l
7i°ÿ-•. ItT)
4x + 7y = 28
,
t i:)
......
!4:
....
J l II 1
- .... LI_LLL
!!!!
H-H--H-t¢ ÿ
......
1 1 I I I 1,1ÿ,
.......
Identify the slope, rn, and y-intercept, b, of the given equation. Then graph the line.
11. y = 5x + 4 ÿPÿ i!)
12. y = 10-4x LfT"I'," o.11
!r>ÿ ÿI
II
I I
I
I I
b //::ÿ
"iv[,!
LLL] JolL'L
13. y = -9X + 8 ÿf}/i' ÿ'ÿ1
'ÿ"
S
.......
S
'
t oÿ' " '':
Lsÿ +-÷
.....
1|'ÿb. [/
II
tll
)IN ÿtli :::ÿJ: h!
'h
F,
II
I
_ELII ÿ-tLSÿ
I
II
. _%
MI[Lÿ"-i
I:
['['fÿ [ÿ ",,1
6ÿ
......................
Iÿ I,,[
14. y=x
o
8
,,
15. y = -4
J
i
II
I
V¢,7'
' lL,iÿ'ÿ
'i V;ÿ
v =
..........
i\
..........
0
16. X=3
]l,ÿ'ÿ"ÿ"ÿ ÿ"U, "iÿ, ÿ ÿ,.ÿ,ÿ
*IV _ÿ1 I , I J_
÷ÿ ++i6
P I
I
I
|
' ÿ-6 _ÿI_Pl L! > I A I ,¢ Aÿ$
" ÿ - _ ÿ:.2 %EAÿ_LL'Z_ i 2_
=
A
h -I
I
I
I
0 -
I]I I IÿllW"
. ,Iÿ, LJÿL_
J ..........
17. Find the slope of the line that contains (2, 4) and (4,4): .....
..................
::
:: ÿ,L) I
18..Find the slope of the line that contains (3, 2) and (-4,5! _
Directions: Given the information below, write the equations for each line in POINT-SLOPE FORM. SHOW ALL WORK!!!
19. (2, 5)((3, 7)/
20. (5, O) (5, 10)
-i ÿ ÿ;i I'j
21. (-5, 6)!(2, 6)"ÿ
(4, 6)
22.
tÿ-¸ ÿ
,
$;
<.
,..j
Directions: Given the following equations, IDENTIFY THE SLOPE AND A POINT.
23. y-3:2(x-6)
24.
y+3=-2(x-6)
26.
y+6=-4(x-1)
7'vÿ
(-f:P ,, ..... <+ ' I7
25.
y+6=4(x+1)
lJ* };*t.
i!
!r
Determine if the ordered pair is a solution of the equation. Show Each Step.
27. 2y + x = 4 when (-2, 3)
Write the direct variation equation.
29. x=4y=18
o>
f
(
i
\f
Do the following model direct variation?
31.
i i ii T i
I Iii ÿÿ'i
-lu--i
33. 4x +2y =1
34. 2x- 3y = 0
7 \,<7 'l+
t:! :!
<<s
\j-
Given that x and y vary directly write an equation and make a prediction.
If, "<, ÿ'
,. A t
35. when y = 4, x = 8; what is xwhen y = 22?
36. When y = 9, x= 27, what is ywhen x is 39?
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