Parallel Line Equation Finder
Discover the equation of a line that runs parallel to another, passing through your chosen point. Visualize and understand linear equations effortlessly.
Input Parameters
Enter the slope of the given line and the coordinates of the point through which the parallel line should pass.
Equation of the Parallel Line:
Line Visualization
Understanding Parallel Lines
In geometry, parallel lines are lines in a plane that never meet; that is, they are always the same distance apart. A key property of parallel lines (in a Cartesian plane) is that they have the same slope.
To find the equation of a line parallel to a given line and passing through a specific point (x₁, y₁), we use the point-slope form. If the given line has a slope 'm', the parallel line will also have the same slope 'm'. The equation of the parallel line is given by y = m(x - x₁) + y₁, which simplifies to y = mx + (y₁ - mx₁).
This tool helps you calculate this equation by inputting the slope 'm' and a point (x₁, y₁). The visualization provides a graphical representation of both the given line (y=mx) and the calculated parallel line, along with the point (x₁, y₁).