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Writing Equations
I'
Complete each statement.
2.
a)
The formula for tbe point-slope form of a line is
b)
In the equation y
c)
The equation y
d)
The general form of the equation of
-
rnx+ lr, (0, b) is called
= ttr
:*')
r-n Le^ U,F"4
* b is called tne A,t c#* - t*h**f.?brm
of the equation of a line.
a
Find the slope and.r,-intercept.
a) 3x-2Y=6
-ix -3Y
-3 X r
-!X:
_t _)
slope l/
f,
_ra
)'3 x -3
c) 2x*5-v*-7
-)v
-)y
-5v:-)x-r
,
y-intercept
srope
i= 2irt"
tE
e) x*4y=-*4
-X
-Qy
-r
-x
= -i7 -'l
'n
-v/
- - L/
5
a
^2
)
b)
4x*3Y=t)
-'lX
-qr
a V= *Ll yr-l)
)-33
5x* 2Y = $
.-<X
y-intercept T S
:L=
?r
slope
-+/
]-intercept
I
_
slope
-Y
Yz +
bx-\'=--{
g
l,-inlercept
a
slope
L
)1
-h<' -Lr
-/=-G._3
-t_l_l
- 5/t
slope
-fy
L/13
.l.iniercepl
Y^--u/tY+Ll
IS
JJ*?
3,
ttre / -
y-intercept
.
. y=rtx +-V
the standard form equation rn slOpe-rntercqpt form.
V=
4x
a)
2x+1,,=6
b)
c)
4x*31:= tz
d) 7x-31'-6
Rewrite
+-\
€) 5x*4y-3
t)
3,tr*3, = 4
6x- 3y=4
tt.
lr4atch eacL cqualior.r
* ith tiie graph ir mosl closel)' resenlbles
a) .r'=.t-l
b)
=-.t*
.t
2
c) )'=--r-i
d)
9.
.\'
=
.\'
-i
2
2
Writc the equatioil ol-each line in slope-intercept ibrm
b
a)
(0,2), M=2
)
V:)K*
c)
-l,t
?\r
3
tr)
= ll
-')
-.
Y-:
,J
c) t-i=
-r'=
-j
i*
a
-Yr -i)
- ?
)-:;
-->
I,J
,,
cJ
r'
^l ?-
I
=
-?
*,tx -fx
-3Y
ri
i{.r+"lt
I
.,)
J
nt= *52
liraph tlc lrnear equation.
a) 4t -
(0. - 3).
Y-bx
(0, 3), m = {l
\/t*
t0.
b)
I
t
d) 2r=,ir =
l0
\/A
L
tl.
Write the equation in standard form, slope-intercept fomr, and point alopo fonn.
[: ?
m=:
''
b = -?
b)
Yn- 5
)
a.
("
tr1
;tandard form
5x-ay
= -10
rlope-intaeept forsl
slope-intercept form
point-slope form
;tandardform "5-,--.,-"
+?)
poin:-slop form
gtandard form
stsndad fsrfit
olope-intercept form
slope-interoepi fonn
Poirt'slePu 15tto
point-slope form
r)
stand*rd forgn
standard form
rlope-intereept form
slop-intercept forul
poiat-nlope form
poiut-slape form
6Y : l)
-5
Y*.#x-6)