What is Two-Point Form?
Two-point form in math is an important way of finding the equation of a line when the coordinates of any two points on the line are known. The equation of a line represents every point on the line, and we can say that it is satisfied by each point on the line.
Two-point form is one of the various methods used to find out the equation of the line. We use this method to calculate the line equation when we know two points’ coordinates on the same line. Therefore, the name comes two-point form of line.
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
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