Parallel Line Calculator

How to Use the Parallel Line Calculator

1. Enter the slope (m) of the given line.
2. Enter the x-coordinate and y-coordinate of the point through which the parallel line should pass.
3. Click the "Calculate" button to find the equation of the parallel line.
4. The calculator will display the y-intercept (b) and the equation of the parallel line in the form y = mx + b.

Working Principle

Parallel lines have the same slope. Given a line with slope m and a point (x1, y1), the equation of the parallel line passing through that point can be found using the point-slope form of a line equation:

y - y1 = m(x - x1)

By rearranging this equation, we get the slope-intercept form:

y = mx + (y1 - mx1)

Where (y1 - mx1) is the y-intercept (b) of the parallel line.