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Slope Formula
(y2-y1)
(x2-x1)
Equation of a Line
y=mx+b
m is the slope of the line.
b is the y-intercept (the point where the line hits the y-axis).
If the line passes through the origin (0,0), the line is written as y=mx
Midpoint Formula
((x1+x2)/2 , (y1+y2)/2))
Distance Formula
Square root of (x2-x1)² + (y2-y1)²
Arc Length
(2πr)(degree measure of arc/360)
Area of Arc Sector
(πr²)(degree measure center of arc/360)
Quadratic Formula
−b± the square root of b²−4ac/2a
Mean
Average
Speed
Distance over time
Probability
number of desired outcomes/total number of possible outcomes
Find x percent of a given number n
n(x/100)
Find out what percent a number n is of another number m
(n100)/m
Find out what number n is x percent of
(n100)/x
Sin, Cos, Tan
SOH CAH TOA
Sin
Measure of the opposite side to the angle / Measure of the hypotenuse
Cos
Measure of the adjacent side to the angle / Measure of the hypotenuse
Tan
Measure of the opposite side to the angle / Measure of the adjacent side to the angle