Algebraic formulas
 
Formula Name Formula
Slope of a line  Given two points (x1, y1) and (x2, y2):

The slope, 

Distance formula Given two points (x1, y1) and (x2, y2):

The distance between them d, is:

 Linear Functions Formulas

General Form:
          ax +by + c = 0
Point-Slope Form:
          (y - y1) = m(x - x1)
Slope-Intercept Form:
          y = mx + b
Midpoint of a line segment Given two points (x1, y1) and (x2, y2):

The midpoint is 

Perpendicular lines Given the line 

A line perpendicular to l1 is:

where a, b and c are constants

Parallel lines Given the line 

A line parallel to l1 is:

Quadratic formula The roots of 

When y = 0

Equation of a Circle
 
 
 
 
(a) r2 = x2 + y2 , where center is (0, 0)

(b)  , where center is (h, k)