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Math Fornula
Innequality Properties
- If a < b, then a + c < b + c
- If a < b and c > 0, then ac < bc
- If a < b and c < 0, then ac > bc
Equations and Inequalities Involving Absolute Value
- Definition:
- |x| = x , if x > 0
- |x| = -x , if x < 0
- |u| = a, for a > 0, if and only if u = -a, or u = a
- |u| < a, for a > 0 if and only if -a < u < a
- |u| > a, for a > 0 if and only if u < -a or u > a
Cartesian Coordinates
Let P1 = (x1, y1) and P2 = (x2, y2) then
- The distance d between P1 and P2 is : d2 = (x2 - x1)2 + (y2 - y1)2
- The slope m is : m = (y2 - y1)/(x2 - x1)
- The slope intercept form of a line is : y = mx + b
- The point slope form of a line is : y - y1 = m(x - x1)