Math

Parallel Line Calculator

Find the line parallel to y = mx + b that passes through a given point.

Calculated Output

Parallel slope 2

New y-intercept -2

Formula: Same slope m; b = y₀ − m·x₀

Step-by-Step Breakdown

1. Values used:

2. Slope of original line = 2

3. Point x = 3

4. Point y = 4

6. Parallel slope = 2

7. New y-intercept = -2

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The math behind it

Keep the slope m and find the new intercept from the point: b = y₀ − m·x₀.

Parallel to y = 2x + 5 through (3, 4) → y = 2x − 2.

How do I know lines are parallel?

They have equal slopes and different intercepts.