General Equation Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_04_01 |
Topic Name : General Equation Of A Line |
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Sub Topic Name : Different Forms Of Ax + By + C = 0 |
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Introduction
General equation of first degree in two variables is given by Ax + By + C = 0. Graph of this equation is always a straight line.
Pre-Requisites:
Idea about equation of line in different forms, general equation of first degree in two variables.
Real Life Question:
Nimitha buys fruit at her local farmer’s market. This Saturday, oranges cost $2 per pound and cherries cost $3 per pound. She has $12 to spend on fruit. Write an equation in standard form that describes this situation. If she buys 4 pounds of oranges, how many pounds of cherries can she buy?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
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| Different forms of Ax+By+C = 0 | The general equation of line is given by Ax + By + C = 0; it can be represented in Slope-Intercept form as y=-A/B x-C/B Intercept form as x/(-C?A)+y/(-C?B)=1 Normal Form as A/cos?? =B/sin?? =-C/p where cos??=±A/?(A^2+B^2 ) ,sin??=±B/?(A^2+B^2 ) and p=±A/?(A^2+B^2 ) |
Learning aids / Gadgets
| Gadgets | How it can be used |
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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. Economists also use standard form of line equations to depict a relationship.
Practical examples around us
| Examples | Explainations |
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What you learn in Theory:
What is the general equation of line and equation of line in various forms?
What you learn in Practice:
How to convert general equation of a line to slope-intercept form, intercept form and normal form?