Striaght Line  y = mx + b

Circle (x -- h)2 + (y - k)2 = r2

Straight line: Ax + By = C (Point Slope: y - y₁ = m(x - x₁ ) and Slope-intercepts y = mx + b)

Distance formula: Given 2 points (x₁, y₁) and (x₁, y₁), then distance between them d is:

Midpoint formula: Given 2 points (x₁, y₁) and (x₁, y₁), then midpoint coordinates are:

Slope formula: Given 2 points (x₁, y₁) and (x₁, y₁), then slope, m is:

Circle Ax² + By² + Dx + Ey, + F = 0., A=B. The center is (h, k) when (x -- h)² + (y - k)² = r²
 

Ellipse  Ax2 + By2 + Dx + Ey, + F = 0.,

Hyperbola Ax2 + By2 = F A and B are unlike signs

Ellipse Ax² + By² + Dx + Ey, + F = 0., . The major and minor axes determined x-intercept and y-intercepts.

Hyperbola Ax² + By² = F A and B are unlike signs. The lines of symmetry are equations,

y = ½ x and y = - ½ x; when F = 0 (y or x intercepts produce points on graph)