Various Forms Of The Equation Of A Line
Chapter Name : Straight Lines |
Sub Topic Code : 104_11_10_03_02 |
Topic Name : Various Forms Of The Equation Of A Line |
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Sub Topic Name : Point Slope 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 point lying on this line and the inclination of the line.
Pre-Requisites:
Idea about the coordinate plane, slope of a line, linear equation in two variables.
Real Life Question:
Ethan is moving northeast and is two kilometers northeast of his house. What is the equation of the path he is traversing?
Key Words / FlashCards
| Key Words | Definitions (pref. in our own words) |
|---|---|
| Equation a line in Point-Slope form | Let P(x0, y0) be a point on a non vertical line L, whose slope is m. Then equation of the line is given as: y - y0 = m(x - x0) |
Learning aids / Gadgets
| Gadgets | How it can be used |
|---|---|
| Graphs | Plot the equation of the line passing through point (3,2) and having slope ?3 |
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 Point-Slope form of a line?
What you learn in Practice:
How to find the equation of a line in Point-Slope form.