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1

Slope of a Line

m = (y2-y1)/(x2-x1)

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2

Slope-Intercept Form

y = mx+b

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3

Point-Slope Form

y-y1 = m(x-x1)

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4

Midpoint Formula

midpoint = (((x1+x2)/2), ((y1+y2)/2))

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5

Distance Formula

distance = sqrt((x2-x1)²+(y2-y1)²)

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6

Length of an Arc

length = (n/360)2pir

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7

Area of a Sector

area = (n/360)pir²

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8

Quadratic Formula

x = (-b±sqrt(b²-4ac))/2a

y = ax²+bx+c

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9

SOHCAHTOA

Sin = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent

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10

Probability

# of favorable outcomes/total number of outcomes

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11

Circle Equation

(x-h)²+(y-k)²=r²

h = x coordinate of the middle of the circle

k = y coordinate of the middle of the circle

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12

Exponential Growth

y = a(1+r)^t

a = initial value

r = rate

t = time

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13

Vertex of a Parabola

x = -b/2a

“banana” in the quadratic formula

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14

Vertex Form

a(x-h)²+k

vertex = (h, k)

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15

Pythagorean Theorem

a²+b² = c²

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16

Distance = Rate x Time

d = rt

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17

Sine & Cosine

sin(x) = cos(90-x)

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18

Discriminant

b²-4ac

b²-4ac < 0 | no real solutions

b²-4ac = 0 | 1 real solution

b²-4ac > 0 | 2 real solutions

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19

Pythagorean Triples

3, 4, 5

5, 12, 13

7, 24, 25

8, 15, 17

can be multiples of any of these too

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20

Perpendicular Slope

opposite reciprocal

neg → pos or pos → neg, then swap numerator/denominator

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21

Sum of Angles

sum = (n-2)180

n = number of sides

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