Point-slope Form of a Line Calculator, Formula & Example Calculation

Point Slope Form Calculator


point-slope form calculator - step by step calculation, formula & solved example to fit the point slope form of a line on a two dimensional space or XY plane.

Point Slope Form

It is line geometry function mathematically defined by the formula (y - y1) = m(x - x1). It illustrates that the difference between the two points (y - y1) of y coordinate on a line is proportional to the difference between two points (x - x1) of x coordinate on a line.


The below formula is used to find & fit the point slope form of a line.
formula to find point slope form of a line

m is slope of a line (proportionality constant)
(x1, y1) is any point on a line

Solved Example

This below solved example let users to understand how the example values are being used in this calculation to determine the slope of a line.

Fit the point slope form of a line where the proportional constant m = 9 and the point on a line (x1, y1) = (6, 7).

Let x1 = 6, y1 = 7 & m = 9
Apply the values in the equation
(y - y1) = m(x - x1)
(y - 7) = 9(x - 6)
y = 9x - 54 + 7
y = 9x - 47
9x - y - 47 = 0
The point slope form for the given values is 9x - y - 47 = 0

In many applications point slope form is used to fitting the values in a line. When it comes to online, this point slope form calculator, formula & solved example let the users to understand, practice and verify such calculations. The required values to find & fit it in a line are slope of a line (m) and point x1, y1 on the XY plane or two dimensional spaces. Unlike most of other calculators online, it provides step by step calculation for each calculation users do by using this fitting the point slope form calculator.

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