Unlock the secrets of linear equations with our powerful Parallel Line Equation Calculator. Quickly determine the equation of a line parallel to a given line, passing through a specific point. Our tool simplifies complex geometry, providing both slope-intercept form and values ready for easy graphing.
Formula:
The core concept for parallel lines is that they share the same slope (m).
- Slope (m) of the original line: m = (y2 - y1) / (x2 - x1)
- Point-Slope Form: y - yp = m(x - xp)
- Slope-Intercept Form: y = mx + b, where b = yp - m · xp
Where:
- (x1, y1) and (x2, y2) are two points on the original line.
- (xp, yp) is the point the parallel line passes through.
- m is the slope of both the original and parallel lines.
- b is the y-intercept of the parallel line.