Untitled Flashcards Set

Distance Formula

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Midpoint Formula

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

Slope Formula

m = (y₂ - y₁)/(x₂ - x₁)

Slope-Intercept Form

y = mx + b, where m is slope and b is y-intercept.

Point-Slope Form

y - y₁ = m(x - x₁)

Area of Triangle Using Trigonometry

A = (1/2)ab sin(C), where a and b are the two sides, and C is the included angle.

Area of a Sector

A = (θ/360°) ⋅ πr², where θ is the central angle in degrees and r is the radius.

Partitioning a Line Segment (Scalar Form)

x = x₁ + k(x₂ - x₁), y = y₁ + k(y₂ - y₁), where k = m/(m+n), with m:n as the ratio.

Density Formula

Density = Mass/Volume

Equation of a Circle

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.