Chapter 2 Summary - Coordinate Geometry and Graphing Techniques



Graphing: (A, B, C, D, E, and F are constants, x , y and z are variables)
 
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)