Straight Line


 1

Introduction

An introduction to Straight Lines in coordinate geometry.

2

Slope-Intercept Form: Part 1

Derivation of the slope-intercept form of the equation of a straight line.

3

Slope-Intercept Form: Part 2

Derivation of the slope-intercept form of the equation of a straight line.

4

Slope-Intercept Form: Examples

A few examples related to the Slope-Intercept form of the equation of the straight line.

5

Intercept Form

Derivation of the Intercept Form of the equation of a straight line.

6

Intercept Form : Examples

A few examples related to the intercept form of the equation of a straight line.

7

Point-Slope Form

Derivation of the Point-Slope form of the equation of a straight line.

8

Point-Slope Form: Examples

A few examples involving the point-slope form of the equation of a straight line.

9

Two Point Form

Derivation of the two-point form of the equation of a straight line.

10

Two Point Form: Examples

Examples involving the two-point form of the straight line.

11

Normal Form

Derivation of the Normal Form of the equation to a Straight Line.

12

Normal Form: Examples

Examples involving the Normal Form of the equation to a Straight Line.

13

General Form

General form of the equation of a Straight Line in a plane.

14

Comparison of Equations

Relation between two (or more) equations representing the same line, or a curve in general.

15

Intersection and Concurrency

Intersection of two lines, and condition for three lines to be concurrent.

16

Slope of a Line

Slope of a line whose equation is known, and of a line joining two given points.

17

Angle Between Two Lines

Angle between two lines, and condition for two lines to be parallel or perpendicular.

18

Parallel and Perpendicular Lines

The condition for two lines in the Cartesian plane to be parallel or perpendicular.

19

Angle Between Two Lines: Examples

A few examples involving the formula for angle between two lines.

20

Angle Between Two Lines: Examples

A few examples involving the formula for angle between two lines.

21

Distance of a point from a line

Derivation of the expression for the perpendicular distance of a point from a given line.

22

Distance of a point from a line: Examples

A few examples to illustrate the formula of distance of a point from a given line.

23

Distance between Parallel Lines

Derivation of the expression for calculating the distance between two parallel lines.

24

Distance between Parallel Lines: Examples

A few examples involving the formula for distance between parallel lines.

25

Parametric Form

Derivation of the parametric form of the equation of a straight line.

26

Parametric Form: Examples

A few examples involving the parametric equation of the straight line.

27

Parametric Form: Examples

Some more examples involving the parametric equation of the straight line.

28

Position of a Point

Condition for two points to lie on the same or the opposite sides of a given line.

29

Position of a Point: Examples

A few examples to involving relative positions of points with respect to a given line.

30

Family of Lines

Equation representing a Family of Lines passing through a given point.

31

Family of Lines: Examples

A few examples to illustrate the concept of family of lines.

32

Angle Bisectors

Derivation of equations to the angle bisectors of a pair of straight lines

33

Angle Bisectors: Examples

A few examples to illustrate angle bisectors of a pair of straight lines.

Cheat Sheet

 

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