Parallel Line Calculator

Your details

Choose how you want to enter the original line.
The slope of the original line in y = mx + b.
The y-intercept of the original line in y = mx + b.
x-coordinate of the point the parallel line must pass through.
y-coordinate of the point the parallel line must pass through.
y-intercept of parallel line (b)
-2

The new y-intercept computed from the given point.

Slope of parallel line (m)2
Parallel line equation (slope-intercept)y = 2x - 2
Parallel line equation (standard form)2x - y - 2 = 0
Distance between lines2.2361units
Parallel line y-intercept-2
Distance between lines2.2361

Parallel line found: y = 2x - 2

  • Parallel lines have the same slope (2.0000). They never meet, no matter how far they are extended.
  • The perpendicular distance between the two parallel lines is 2.2361 units. This distance is constant at every point along the lines.
  • The new line crosses the y-axis at -2.0000, which is the only value that differs from the original line.
  • You can verify the result: substituting the point (1, 0) into the parallel line equation should satisfy it exactly.

Next stepTo find a perpendicular line instead, use the negative reciprocal of the slope: m_perp = -1/m.

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