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Slope Formula
m = (y₂ - y₁) / (x₂ - x₁)
Slope-Intercept Form
y = mx + b
Point-Slope Form
y - y₁ = m(x - x₁)
Quadratic Formula
x = [-b ± √(b² - 4ac)] / 2a
Pythagorean Theorem
a² + b² = c²
Distance Formula
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Midpoint Formula
M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
Area of a Triangle
A = ½·b·h
Area of a Circle
A = π·r²
Circumference of a Circle
C = 2·π·r
Simple Interest Formula
I = P·r·t
Compound Interest Formula
A = P(1 + r/n)^(n·t)
Continuous Compound Interest Formula
A = P·e^(r·t)
Logarithm to Exponential Conversion
log_b(x) = y <=> b^y = x
Vertex of a Parabola (x-coordinate)
x = -b / (2a)