Various Forms Of The Equation Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_03_01 |
Topic Name : Various Forms Of The Equation Of A Line |
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Sub Topic Name : Horizontal And Vertical Lines |
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Introduction
A plane contains infinitely many points. The relationship between the points leads us to the equation of lines.
Pre-Requisites:
Idea about the coordinate plane.
Activity:
Two horizontal lines are parallel to each other.
Real Life Question:
Robert is moving north at a speed of 2m/sec. His brother is standing two meters east of him and starts moving in the opposite direction at the same speed. Is the path they are moving on horizontal or vertical? Are the paths parallel?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Horizontal Line | A line parallel to the x-axis and lying at a distance ‘a’ from the X-axis. The equation of the horizontal line is of the form : x =a. |
| Vertical Line | A line parallel to the y-axis and lying at a distance ‘a’ from the Y-axis. The equation of the horizontal line is of the form : yx =a. |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Scale and Graphs | Draw horizontal lines 2 units above and below x-axis. Similarly draw vertical line 2 units to the right and left of y-axis. |
Real life uses :
Engineers use horizontal and vertical line to draw charts, tables and various geometrical figures.
Practical examples around us
| Examples | Explainations |
|---|---|
| Ladder | The steps of the ladder are horizontal and parallel. |
| Squares and Rectangles | Two horizontal and vertical lines form a square or rectangle. |
What you learn in Theory:
What are horizontal and vertical lines?
What you learn in Practice:
How to draw horizontal and vertical lines?