Point on Line Checker

Quickly determine if a given point lies on a line defined by its equation. Enter the coefficients and point coordinates below.

Line Equation

Enter the coefficients for the line equation in the form $$Ax + By = C$$:

Coefficient of x (A):

Coefficient of y (B):

Constant term (C):

Point Coordinates

Enter the coordinates of the point $$P(x_0, y_0)$$ to check:

x-coordinate ($$x_0$$):

y-coordinate ($$y_0$$):

Result

Visualization

Line equation: , Point:

Understanding Point on a Line

In coordinate geometry, a point lies on a line if its coordinates satisfy the equation of the line. For a line represented by the equation $$Ax + By = C$$, and a point $$P(x_0, y_0)$$, the point lies on the line if and only if $$Ax_0 + By_0 = C$$.

This tool helps you verify this condition by taking the coefficients A, B, and C of the line equation, and the coordinates $$x_0$$ and $$y_0$$ of the point as input. It then calculates $$Ax_0 + By_0$$ and checks if it is approximately equal to C within a small tolerance to account for floating-point inaccuracies. The visualization provides a graphical representation of the line and the point, making it easier to understand the concept visually.

Use this tool to quickly check if a point is on a line for your geometry problems or calculations.