Geometry: Unit 2 -Writing Equations of Parallel and Perpendicular Lines
Student Notes- Writing Equations of Parallel and Perpendicular Lines
Pages 129-133
Tell whether the lines below are parallel, perpendicular or neither.
y - 4x
Example 1:
y
= 5 =) 1.)
_/1l
'0''5
'-=3f + 4
y
Example 2:
=®< + 3
_.Gl +0"
y + 5x = 8 =-'>'1-G"" a
y
Example 3:
= x3 - 4 .::) uJ ~~~
3y =X + 6 =) '1 "' ~
J(.
ru·\·Y NY (ob\l~ue_J
'(_-::' ~
Example 4 :
X=2
y =9
~
Example 5: Write an equation in slope-Intercept forr:!J. of the line that passes through th point (6, 1 nd is
Qarallel to the line X -3y = 8 . 'Vv..yf.._ pol.n I~ ~\o-p-e..=") ~<::Jie{, ~0
Slofl-
'f.. - 3~ :.- 8"
l1- ~\:: WLUl-~\)
-3~ ~ ~- )t ~
~
\ -= ~ lx.- lR) -'> So\\Jt. P-o,-~
y-
L1 ~~>"~\...
)G-
31..j =-8'-"
G ·- ~ -JJ
~-I = ~ ¥- ';)_
)L
Example 6: Write an equation i ~pt_fQ[__m of the lin e that passes through the~and is
.12erpendicular to the line 2x -7y = 14. ~\l't ope 1 1 N-e.d s\.cr~='> j_, So~.r~~ pe ~
9.--(- f'j ~ \ .t\
~
-=:. ~ l 'l- )l\ )
~)G- 1-~ -:= \~
-\1\
- '"1\j ~- ~~'\-l4
-~
lJ
J
~
lj -~ ~+ - '}
+-3 ~ -1lx. -4)
~
'j~~~ VV\_-)~ct.t. \~ --l
Example
~
~ ~- ~ \< +g.
-'3
-= -~X 1" l\
L\
I
~rite an eq uation in slope-intercept fQrm of d!e line that passes through the @
parallel to the line y
=ffi
-p~\1 so rt\ (--'
~ -~,-=
+ 2.
2
'-'\-
Y'Y\
(_~-~)
4 ::. -~~ +\o)
~
J
~
~- ~')G - ~ +-+
[C\ ·~
S 1
\j
-tx-
Example 8: Write an equation in .slooe-interceptl'orr!l_ of the line that passes through
perpendicular to the line y
_t:It
+2.
~ a ·w'- ,. .
\31'........,./
~f>~\
[..V I
'1 -\j
~-
\
1
:::.
:=
-
lj - \ -=
c~~
l 't. - 't-1
3( ~ +- 3)
- 3 ~ -q
vY\,
-3)G-g'
)
r
nt (-6, 4})nd is
SO
VV\..::: -
3
the~ and is
-+
+ g_