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The Basic Equations
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( 29 ( 29 ( 29
2
1
2
2
1
2
2
1
2
2
2
1
1
1
,
:
)
,
(
and
)
,
(
between
Distance
y
y
x
x
P
P
d
y
x
P
y
x
P

+

=
=
=
( 29 ( 29
2
2
2
:
radius
and
)
,
(
C
at
centered
circle
a
of
Equation
r
k
y
h
x
r
k
h
=

+

=
1
2
1
2
2
2
2
1
1
1
:
)
,
(
and
)
,
(
through
line
of
Slope
x
x
y
y
m
y
x
P
y
x
P


=
=
=
)
(
:
formula
slope

Point
0
0
x
x
m
y
y

=

b
mx
y
+
=
:
formula
intercept

Slope
+
+
=
=
2
,
2
:
)
,
(
and
)
,
(
between
Midpoint
2
1
2
1
2
2
2
1
1
1
y
y
x
x
y
x
P
y
x
P
2
1
2
2
1
1
:
to
parallell
is
m
m
b
x
m
y
b
x
m
y
=
+
=
+
=
2
1
2
2
1
1
1
:
lar to
perpendicu
is
m
m
b
x
m
y
b
x
m
y

=
+
=
+
=
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)
2
,
1
(
),
8
,
3
(
Let
2
1

=
=
P
P
Find the distance between the points.
( 29 ( 29 ( 29
2
1
2
2
1
2
2
1
,
y
y
x
x
P
P
d

+

=
( 29 ( 29
2
2
8
2
3
1

+


=
36
16
+
=
13
2
52
=
=
Find the midpoint of the segment determined
by the points.
( 29
x y
x x y y
, ,
=
+ +
1
2
1
2
2 2
( 29
5
,
1
2
2
8
,
2
)
1
(
3
=
+

+
=
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This note was uploaded on 01/22/2011 for the course MATH 2 taught by Professor Gardner during the Fall '08 term at Irvine Valley College.
 Fall '08
 GARDNER
 Calculus, PreCalculus, Equations, Slope

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