Enter your keyword

Equation of a Line Formula

An equation of a line can be expressed in many ways – Slope Intercept, Standard or Point-Slope. Here we will discuss Point-Slope Equation of a Line.

Point Slope Equation

The Point Slope Equation of a Line Formula

\[\LARGE y-y_{1}=m(x-x_{1})\]

Where,
m is the slope of the line.
x1 is the co-ordinate of x-axis.
y1 is the co-ordinate of y-axis.

Solved Examples

Question 1: Find the equation of the line whose slope is 8 and one of the co-ordinate is (3,5) ?

Solution:

Given,m = 8

(x1,y1) = (3,5)

The formula for the equation of a line is,

y – y1 = m (x – x1)

y – 5 = 8 (x – 3)

y – 5 = 8x – 24

8x – y = 19

8x – y – 19 = 0

 

More topics in Equation of a Line Formula
Perpendicular Line Formula Parallel Line Formula
Point of Intersection Formula
Related Links
Gauss Law FormulaPerpendicular Line Formula
Area Of Regular Polygon FormulaHypergeometric Distribution Formula
Interest FormulaRectangle Formula
Kinetic Friction FormulaPerfect Square Trinomial Formula
Distance Traveled FormulaCentripetal Force Formula
Byjus Formulas