Various Forms Of The Equation Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_03_03 |
Topic Name : Various Forms Of The Equation Of A Line |
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Sub Topic Name : Two-Point Form |
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Introduction
A line in the coordinate plane has some inclination. We can write the equation of this line if we know a points lying on this line.
Pre-Requisites:
Idea about the coordinate plane, slope of a line, linear equation in two variables.
Real Life Question:
What is the equation of the line passing through points (-1, 1) and (2,-4).
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Equation of a line two-point form | Let a line L passes through two point P1 (x1,y1) and P2(x2,y2). Then the equation of the line in two-point form is given as: y-y_1=(y_2-y_1)/(x_2-x_1 ) (x-x_1 ) |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graphs and Scale | Plot the line passing through the points (-1, 1) and (2,-4). |
Real life uses :
Equations of lines are a compact form of defining a line if someone wants to convey over email or telephone. Equation of lines is employed to find the locus of the trajectory of a moving body.
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
What is the equation of a line in two-point form?
What you learn in Practice:
How to find the equation of a line in two point form?