Post on 12-Nov-2014
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Definition of Slope:Given two points (x1, y1) and (x2, y2) on a line then
m =y2 − y1x2 − x1
=change of ychange of x
=∆y∆x = rise
run
Horizontal Lines have 0 slope.Vertical Lines have an undefined slope.
Parallel and Perpendicular Lines:Given two linear equations y1 = m1x1 + b1 and y2 = m2x2 + b2, then
If m1 = m2 then y1 ‖ y2 (y1 is parallel y2)
If m1 ·m2 = −1 then y1 ⊥ y2 (y1 is perpendicular to y2)
Point-Slope Form:y − y1 = m(x− x1) wherem = slope and (x1, y1) is a point on the line
Standard Form:Ax + By = C, whereA, B, and C are constants.
Slope-Intercept Form:y = mx + b , wherem = slope and b = ordinate of the y-intercept.x is the independent variable and y is the dependent variable.
To find x-intercept let y = 0 and solve for x.To find y-intercept let x = 0 and solve for y.
Linear Equation Notes Created by: Matthew Westerhoff, 2006”Do not worry about your problems with mathematics,I assure you mine are far greater.” - Albert Einstein
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