Derivation of Two Point Form Formula
Let M(x1, y1) and N(x2, y2) be the two given points on the line L and let P(x,y) be a random point on the line L
From the figure, we can observe that the three points M , N and P lie on the same line. Hence, they are collinear.
Slope of line MP = Slope of line NP
(y – y1)/(x – x1) = (y2 – y1)/(x2 – x1)
(y – y1) = (y2 – y1)/(x2 – x1){x – x1}
Two Point Form – Definition, Formula & Derivation
Two-point form of a line is the equation of a line when two points on a line are given, the two-point form formula is Y − y1 = (y2 − y1)/(x2 − x1)(X − x1). Where the two points are, (x1, y1) and (x2, y2). If in geometry two points are given then the equation of the line passing through these two points is given using the two-point form of the line.
In this article, we will learn about the two-point form, the equation of a line in the two-point form, Two Point Form examples, derivation of the two-point form, and others in detail.
Table of Content
- What is Two-Point Form?
- Equation of a Line in Two-Point Form
- Formula For Two Point Form
- Derivation of Two Point Form Formula
- Finding Equation of Line Using Two Point Form
- Two Point Form – Solved Examples
- Practice Questions on Two Point Form