Parallel Line Through Point Calculator
Find a line parallel to Ax + By + C = 0 through a point
Calculate Clear
Parallel Line Formula Ax + By + C₂ = 0, C₂ = -(Ax₀ + By₀)
Parallel lines in standard form keep the same A and B coefficients. Only the constant changes so the new line passes through the required point.
⚠ A and B should not both be zero, because that would not define a valid line.
How Parallel Lines Work Parallel lines have the same direction and never meet. In standard form, keeping A and B preserves the direction of the original line.
Same Direction
Parallel lines share slope.
Same A and B
Standard form keeps the direction.
New Constant
C changes to pass through the point.
Point Check
Substitution verifies the new line.
💡 Example: For 2x+3y-5=0 through (3,2), C2=-12, so 2x+3y-12=0.
Applications of Parallel Lines Through a Point Drafting Coordinate Geometry Construction Graphing
Frequently Asked Questions
What is a parallel line through point calculator?▼
It finds the line through a given point that is parallel to a given line.
What is the parallel line formula?▼
A parallel line to Ax+By+C=0 has the same A and B: Ax+By+C2=0.
How do I use this calculator?▼
Enter A, B, C and the point coordinates, then click Calculate.
Why do parallel lines keep A and B?▼
Keeping A and B keeps the same normal vector and slope, so the direction is parallel.
Where are parallel lines used?▼
They are used in coordinate geometry, construction, drafting, and graphing.
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