Name:
Class:
Date:
t. 3y-5xy+7 equationii@ottn.
nO
Determine whether the
2.
4x
: 6y
q1;.- b,+;D
sr4
-4
3. 9y-'+2
in standardform.
-vqfg'
f\0
x
,
+.
If so, write the equdtion
Ver:
Find the x- and y-intercepts of the graph of each rinearfunction.
v
I
/
/
o
/
/
/
r
/
Graph the equation using intercepts.
5' !=x-3
x
K tr\,W 6',0)
\tnww,0r,
1
Graph the equation using intercepts.
6.
5x
-3y - -15
cK=-l{
K:-3
-3',1=-
[f
ff=-t
Find the slope of the line that passes through
7
.
pair of points.
E=+
t)
2rl
(2, 4), (-1, 3)
=2
v'+ -L
ti-:L
(4,2), (3, 5)
9.
the
tl
r>
?-3
(3,7') and (3, -2)
2
=--
-J
I
rlnAe(-,fwd
Write a direct vsriation equation that relates x and y. Assume that y varies directly as
10. lf y = 42 when x: 6, findx whe425;f8.
U-KX
-E= bK
11
.lf
y:
-4 when x :
-Lf ry
16, frnd
r)=Kx
= lbt<
-h
_-L --l<
AJ
y when x :
9
x Then solve.
12. Write an equation of the line with the given slope and y-intercept.
slope:
-1,!-intercept:
-6
_L -
I
t- ,L-''
13. Write the slope-intercept form of an equation for the
line graphed below.
\tv
14. Graph the
slope
line with the given slope and y-intercept.
2
= ;,y-intercept
/
r+
-x
$-
: -4
1s.
slope
: -2,y-intercept:3
2L. Graph the equution wsing the slope and y-intercept.
3x+!=-5
\=')x-(
*.
\r
Write an equation of the line that passes through each point with the given slope
24. (2,1),m:2
ll*t,"(^-")
t"a"
?{
14
1) rrr:{
!. Jl.,rr
\
W-3=
Lx
r
["4
+&
5y=
U -"---W-3
-*
:5y-+7)
-Z],-
-b
f+o'l
Vu x
lV'rite an equation of the line satisfying the given conditions, graph it, then give its slope
2i-ishorizontal and passes through
ar\
(2,*)
fioarrvrt^l /
C dp
K
(-g
u\= 0
fflrt/rcl,Pt-
Nq":
t-
27.isvertical
\
and passes through (-4, 6)
Jr,n,a
x=/
Undrl'ilrtd
X-
lvd4/'re//t-
U)ru+t
m
{z
l: t)ndq1rud
Write thEtoint-slopeform of un equationfor a line that passes through the point with the given slope,
it to slope-intercep
,-ilrc{restate
zB.(4,-t)"m:4
t
Ll (.:9)
tIy*
1;-
+\=
u
t
Y-YIL
\____a
!- +Xrtt
For the linear equation below, give tke speciJied point in tke format (xt M.), then write the equation in standard
form-
29. y+E:-{x-a)
(rt,
y.{),It
Standard
-r)
form:
e
V +-8
<4
-X
+
+
irvv:-r
(
Write an equation of the line that passes through the pair of points.
30.
(-8,48),
(r,
t2)
\L-tz=-qfr-D
u
w_-l\
-tr-L
= I-4?b-
= --117
.4x +lb
U-lL=-tlx+*
31.
ry=
(-1,21), (2,12)
-l-L
_L -s
-3
Write the equation in slope-interceptform-
32.
)
Write the equation in slope-interceptform"
2
!*l=
1x-4)
3
sra*!.erx-+)
e,j
d . zx'8,,
%- r4'u
@)
[:=;.ri
Write the slopelntercepiform of an equation of the line that passes through the given point and is parallel to
the graph of the equation(3,-l),y: x * 3
33.
m =-*
-1
UI + t =
'?(r-3)
"Al--!r*?
U
Write the slope-intercept form of an equation that passes through the given point and is perpendicular to the
graph of the equation.
34.
(3, 1), x-5y=15
X-54=-)-Y
rfu-=
fs
o'ffi
B-l
--S [Y--z)
+Jrs
A-*
)-;--S
35.
Find the zero (root,
solution, x-intercept) of 5x *35
:y
k Vb = (N=sohfioYt = N -t(fufiEV
f,
(
tl,a)
36. Graph the points {-3,1), (4, 4), (-3, 4). Find a fourth point that completes a rectangle with the given three
points, then graph the rectangle on the coordinate plane.
(+,'z)
A = *2vnvr,
P = ?fu on'*
Use the table below
that shows the amount of gasoline a car consumes for different distances driven.
4
2
3
X Distance(mi.) 7
rJ Gasoline (gal) .03 .06 .09 .12
J
37.
a.
5
.15
Write an equation in function notation for the relationship between distance and gasoline used.
{= '03x
+fr)
= o, r3x
b. Use the equation to determine the amount of gas used for 36 miles.
+Gt= Q, ot(zQ
ffit) = l,o3
g
I ,o gallonat