Slope Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_02_05 |
Topic Name : Slope Of A Line |
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Sub Topic Name : Collinearity Of Three Points |
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Introduction
If two lines having the same slope pass through a common point, then the two lines will coincide. Hence there will be a set of collinear points.
Pre-Requisites:
Idea about slope of parallel and intersecting lines.
Real Life Question:
Emma is standing one meter to the northeast of Sara. Their brother Bob is standing one meter southwest of Sara. Are they three standing in a straight line?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Collinear Points | Three points A,B,C are said to be collinear if Slope of AB = Slope of BC |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Scale | Mark three points on the graph. Join them with the help of scale. See if the points are collinear or not. |
Real life uses :
Collinearity of points finds use in statistics, econometrics, antenna arrays and photography.
Practical examples around us
| Examples | Explainations |
|---|---|
| Latitudes and Longitudes | Cities lying on the same latitude or longitude are collinear. |
What you learn in Theory:
What are collinear points?
What you learn in Practice:
How to determine whether the given points are collinear or not?