Slope Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_02_02 |
Topic Name : Slope Of A Line |
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Sub Topic Name : Slope Of A Line When Coordinates Of Any Two Points On The Line Are Given |
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Introduction
There can be only one straight line joining two points on the coordinate plane. That inclination of that line with positive x-axis is known as slope of the line.
Pre-Requisites:
Idea about the slope of the lines, coordinate geometry.
Real Life Question:
Between 1980 and 1990, the number of television cable subscribers increased by 3.6 million per year. If 17.5 million people subscribed in 1980, how many subscribed in 1990?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Slope of a line | The slope of the line joining two points (x1 , y1) and (x2 , y2) is given by: m= (y_2-y_1)/(x_2-x_1 ) |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graphs | Plot lines of the graph and measure their inclination to the x-axis. |
Real life uses :
Lines and their inclination have extensive use in every aspect of engineering. They are widely used by the architects in the construction of roads, bridges and buildings.
Places to visit :
Roads and Railway tracks. See how slope is used in their making : http://en.wikipedia.org/wiki/Slope#Slope_of_a_road_or_railway
Practical examples around us
| Examples | Explainations |
|---|---|
| Banking of roads | Roads are inclined at the curves to provide centripetal force. |
What you learn in Theory:
Lines and their inclination have extensive use in every aspect of engineering. They are widely used by the architects in the construction of roads, bridges and buildings. What is the slope of a line?
What you learn in Practice:
How to find the slope of a line joining two points in coordinate plane?