Linear Equations & Functions

Linear Equations & Functions

1. 2.1 Introduction

   • linear function represent a straight line , y=mx+c
   • A function of a straight line is a linear func: conversely, every linear func represent a straight line

2. 2.2 Graphing a Linear Function

   • Find the x- and y-intercept

3. 2.3 Intercept and Slope of a Straight Line

   • x-intercept: a point where the straight line crosses the x-axis (can be found by the setting y=0)
   • y-intercept: a point where the straight line crosses the y-axis (can be found by the setting of x=0)
   • slope
   • In a straight line, slope of the line m might be: a) Positive: as x >, y >. b) negative: as x >, y < . c) zero: as x > or <, y remains constant (horizontal line) d) undefined: x constant regardless of value y (vertical line)

4. 2.4 Finding the Equation of a Line

   • Point Slope Form y-b= m(x-0) y = mx + b

5. Intersection of Straight Line

6. 2.6 Parallel and Perpendicular Lines

   • L and L are parallel if m = m
   • L and L are perpendicular if m x m = -1