Two Point Form
What is the two point form?
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 β y1 = (y2 β y1)/(x2 β x1)(X β x1). Where the two points are, (x1, y1) and (x2, y2)
How do you determine whether a point lies on a line?
Every point on a line satisfies its line equation. For example, to see whether (3, 6) lies on a line y=2x, we substitute x=3 & y=6 in the given equn. Then we get β 6=2(3) or 6=6. The equation is satisfied and hence the point (3, 6) lies on the line y=2x.
What is the point slope form?
The equation of line in point slope form is given by : (y-y1) = m(x-x2) .
What is the equation of x-axis?
The equation of x-axis is : y=0
What is the equation of y-axis?
The equation of y-axis is : x=0
Give an example of a two point form?
Point A with coordinates (2, 3) and Point B with coordinates (4, 7). To find the equation of the line that goes through these points, we substitute the coordinates into the two-point formula:
- x1 = 2, y1 β= 3
- x2 = 4, y2 = 7
Substituting these values into the equation gives us:
yβ3=(7β3)/(4β2)
Two Point Form β 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 β y1 = (y2 β y1)/(x2 β x1)(X β 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 β Solved Examples
- Practice Questions on Two Point Form