Equation of a Straight Line Flashcards
Formula to find a single point
Y=mx+c
Gradient Formula
x1-y1/x2-y2
Horizontal Line has a gradient of
0
Straight Line Equation
y-b=m(x-a)
What does (c) stand for in straight line equation
y-intercept
What does (m) stand for in straight line equation
Gradient
Circumference
Pi x diameter
Radius
C=2pi x diameter
90 degrees as a fraction
1/4
180 degrees as a fraction
1/2
Arc Length
AB=0/360 x pi x diameter
What does SOHCAHTOA stand for
Sine, cosine and tangent
Sine is equal
Opposite/Hypotenuse
Cosine is equal
Adjacent/Hypotenuse
Tangent is equal
Opposite/Adjacent
Sides of a triangle
Opposite, Hypotenuse and Adjacent
Area of a triangle
1/2absinA
a/sinA=b/sinB=c/sinC
Sine rule - finding a side
b^2+c^2-2bcosA
Cosine Rule - finding a side
Rule 1 - simplifying surds
Square root (a x b) = square root a x square root b
Rule 2 - simplifying surds
Square root a x square root a = a
Rule 3 - simplifying surds
Square root a/b = square root a/ square root b
Rule 1 - Multiplying Indices
x^m x x^n = x^mn
Rule 2 - Dividing Indices
x^m/x^n=x^m-n
Rule 3 - Negative Indices
1/x^n=x^-n
Rule 4 - Power to another Power
(x^m)^n=x^mn
Interquartile Range
I.Q.R = Q3 - Q1
Semi-Interquartile Range
S.I.Q.R = Q3 - Q1/ 2
Standard Deviation
SD = E(x-x)^2\n-1
What does Foil stand for
First, Outside, Inside, Last
Factorising a difference of two squares - Rule
a^2 - b^2 = (a+b) (a-b)
