Formula Reference Sheet Page 2

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Equations of a Line
Coordinate Geometry Formulas
Standard Form:
Let (x
, y
) and (x
, y
) be two points
1
1
2
2
in the plane.
Ax
By
C
where A and B are not both zero
y
– y
2
1
slope
where x
x
x
– x
2
1
Slope-Intercept Form:
2
1
y
mx
b or y
b
mx
+
+
y
y
x
x
where m
slope and b
y-intercept
1
2
1
2
,
midpoint
2
2
Point-Slope Form:
y – y
m(x – x
)
1
1
(
)
(
)
2
+
2
distance
x
– x
y
– y
where m
slope, (x
, y
)
point on line
2
1
2
1
1
1
Distance Traveled
Polygon Angle Formulas
d
rt
Sum of degree measures of the interior
angles of a polygon:
rate × time
distance
180(n – 2)
Degree measure of an interior angle of
a regular polygon:
Simple Interest
180
( – )
n
2
I
prt
n
where n is the number of sides of the polygon
principal × interest rate × time
interest
Formulas for Right Triangles
Special Triangles
B
Pythagorean Theorem:
c
a
2
2
2
a
b
c
A
C
b
30˚
45˚
opposite
2a
a
3
sin A = a c =
a
a
2
hypotenuse
adjacent
cos A = b c =
45˚
60˚
a
hypotenuse
a
opposite
tan A = a
=
adjacent
b

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