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Slope of a Line

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Math

SAT

Math

21 Terms

1

Slope of a Line

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

<p>m = (y2-y1)/(x2-x1)</p>
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2

Slope-Intercept Form

y = mx+b

<p>y = mx+b</p>
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3

Point-Slope Form

y-y1 = m(x-x1)

<p>y-y1 = m(x-x1)</p>
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4

Midpoint Formula

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

<p>midpoint = (((x1+x2)/2), ((y1+y2)/2))</p>
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5

Distance Formula

distance = sqrt((x2-x1)²+(y2-y1)²)

<p>distance = sqrt((x2-x1)²+(y2-y1)²)</p>
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6

Length of an Arc

length = (n/360)2pir

<p>length = (n/360)2pir</p>
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7

Area of a Sector

area = (n/360)pir²

<p>area = (n/360)pir²</p>
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8

Quadratic Formula

x = (-b±sqrt(b²-4ac))/2a
y = ax²+bx+c

<p>x = (-b±sqrt(b²-4ac))/2a<br>y = ax²+bx+c</p>
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9

SOHCAHTOA

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

<p>Sin = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent</p>
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10

Probability

# of favorable outcomes/total number of outcomes

<p># of favorable outcomes/total number of outcomes</p>
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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

<p>(x-h)²+(y-k)²=r²<br>h = x coordinate of the middle of the circle<br>k = y coordinate of the middle of the circle</p>
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12

Exponential Growth

y = a(1+r)^t
a = initial value
r = rate
t = time

<p>y = a(1+r)^t<br>a = initial value<br>r = rate<br>t = time</p>
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13

Vertex of a Parabola

x = -b/2a
“banana” in the quadratic formula

<p>x = -b/2a <br>“banana” in the quadratic formula</p>
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14

Vertex Form

a(x-h)²+k
vertex = (h, k)

<p>a(x-h)²+k<br>vertex = (h, k)</p>
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15

Pythagorean Theorem

a²+b² = c²

<p>a²+b² = c²</p>
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16

Distance = Rate x Time

d = rt

<p>d = rt</p>
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17

Sine & Cosine

sin(x) = cos(90-x)

<p>sin(x) = cos(90-x)</p>
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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

<p>b²-4ac<br><br>b²-4ac &lt; 0 | no real solutions<br>b²-4ac = 0 | 1 real solution<br>b²-4ac &gt; 0 | 2 real solutions</p>
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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

<p>3, 4, 5<br>5, 12, 13<br>7, 24, 25<br>8, 15, 17<br>can be multiples of any of these too</p>
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20

Perpendicular Slope

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

<p>opposite reciprocal<br>neg → pos or pos → neg, then swap numerator/denominator</p>
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21

Sum of Angles

sum = (n-2)180
n = number of sides

<p>sum = (n-2)180<br>n = number of sides</p>
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