Various Forms Of The Equation Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_03_05 |
Topic Name : Various Forms Of The Equation Of A Line |
|
Sub Topic Name : Intercept Form |
|
Introduction
When a line makes x-intercept as well as y-intercept, the equation of the line can be determined.
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 which makes intercepts -3 and 2 on the x- and y-axes respectively.
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Equation of a line in intercept form. | Let a line L makes x-intercept a and y-intercept b on the axes. The equation of the line in intercept form is then given by: x/a+y/b=1 |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graphs and Scale | Plot the line which makes intercepts -3 and 2 on the x- and y-axes respectively. |
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 |
|---|
What you learn in Theory:
What is the x and y intercept of a line and what is the equation of the line in intercept form?
What you learn in Practice:
How to find the equation of a line in intercept form when the intercepts are known?