6.2
E quation
o f
a
L ine
i n
S tandard
F orm
Analyzing
L inear
R elations
Learning
G oals:
I n
t his
l esson
s tudents
w ill
l earn
h ow
t o
c onvert
a n
e quation
i n
s tandard
f orm
i nto
s lope
y-‐intercept
f orm.
S tudents
w ill
t hen
b e
a ble
t o
d etermine
s lope
a nd
y -‐intercept
f rom
t he
e quation
a nd
r elate
that
t o
f ixed
a nd
v ariable
c osts
i n
p artial
v ariation.
DO
I T
N OW!
1. Is
t he
r elation
2 x
–
3 y
–
6
=
0
l inear?
E xplain.
2. Determine
t he
y -‐intercept
o f
t his
r elation
b y
l etting
x
=
0 .
( Every
p oint
o n
t he
y -‐axis
h as
a n
x-‐coordinate
o f
z ero)
3. Find
t he
c oordinates
o f
t wo
o ther
p oints
t hat
a re
o n
t he
g raph.
H int:
I f
a
p oint
i s
o n
t he
graph,
t hen
i ts
c oordinates
m ust
s atisfy
t he
e quation
( make
t he
e quation
t rue).
Math
9
–
J ensen
6.2
–
S tandard
F orm