By Zencalcy Editorial TeamLast reviewed About us
Parallel lines share their slope. Give the original slope and the new point — the tool keeps m unchanged and solves for the new intercept b.
Line through a new point with the original slope kept.
y = m·x + b′, b′ = y₀ − m·x₀
| Symbol | Meaning |
|---|---|
| m | Shared slope (unchanged) |
| (x₀,y₀) | Point the new line passes through |
Parallel to slope 2 through (1,1): b′ = 1 − 2 = −1 → y = 2x − 1.
Continue with the Percentage Calculator, all math calculators, or browse the full calculator directory.
Equal slopes are the definition of parallel (in the plane) — only the intercept can differ.
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Content updated: September 2026