Linear Equations Calculating Slope And Writing In Slope Intercept Form
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1Algebra
3
L inear
e quations
C alculating
s lope
a nd
w riting
i n
s lope
i ntercept
f orm
Remember:
S lope
i s
r ate
o f
c hange
Calculate
t he
s lope
Rise
y
y
–
y
2
1
Run
x
x
-‐
x
2
1
Find
t he
s lope
o f
t he
l ine
p assing
t hrough
( -‐5,
-‐ 2)
a nd
(
1 ,3)
y
–
y
3
–
( -‐2)
5
h int
:
I f
y ou
s tack
t he
p oints
i t
i s
e asier
t o
d o
t he
s ubtraction
(
1 ,
3 )
2
1
x
-‐
x
1 -‐
( -‐5)
6
( -‐5,-‐2)
2
1
Practice
p roblems:
Calculate
t he
s lope
o f
t he
l ine
p assing
t hrough
t he
p oints.
R educe
t he
f raction
i f
p ossible:
1.
( 6,
3 )
a nd
( -‐
1 0,1)
2.
( -‐8,
-‐ 2)
a nd
(
-‐ 14,
-‐ 6)
3.
( -‐5,
-‐ 20)
a nd
(
-‐ 5,4)
4 .
( 8,
-‐ 2)
a nd
(
1 ,-‐2)
m=______________
m=______________
m =______________
m=______________
Changing
f rom
s tandard
f orm
t o
s lope
i ntercept
f orm
Need
t o
s olve
f or
y
m ove
x
t o
o ther
s ide
a nd
d ivide
b y
c oefficient
o f
y
Example:
2 x-‐3y
= 12
-‐ 2x
-‐ 2x
s ubtract
2 x
f rom
e ach
s ide
-‐ 3y
= -‐2x
+ 12
d ivide
b y
c oefficient
o f
y
-‐ 3
-‐ 3
-‐ 3
y
=
2
x
-‐ 4
s lope
i ntercept
f orm
3
Practice
p roblems:
Change
t he
e quation
f rom
s lope
i ntercept
t o
s tandard
f orm.
1.
3 x
+ 7y
= -‐21
2 .
9 x
-‐
4 y
= 12
3 .
1 5x
-‐
2 5y
= -‐75
4 .
1 1x
+ 4y
=
1 7
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