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Parallel Line Calculator

Math
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This calculator finds the equation of a line parallel to a given line and passing through a specified point. It uses the slope-intercept form (y = mx + b).

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Slope (m) of the original line, Y-intercept (b) of the original line, X-coordinate of the point the parallel line passes through, and Y-coordinate of the point the parallel line passes through in the units shown.

Step 2

Read Slope (m) of the parallel line, Y-intercept (b) of the parallel line, and Equation of the parallel line (y = mx + b) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Slope (m) of the original line: 2; Y-intercept (b) of the original line: 3; X-coordinate of the point the parallel line passes through: 1; Y-coordinate of the point the parallel line passes through: 5

Slope (m) of the parallel line: 2; Y-intercept (b) of the parallel line: 3; Equation of the parallel line (y = mx + b): y = 2x + 3

Example 2

Slope (m) of the original line: -1; Y-intercept (b) of the original line: 0; X-coordinate of the point the parallel line passes through: 2; Y-coordinate of the point the parallel line passes through: 1

Slope (m) of the parallel line: -1; Y-intercept (b) of the parallel line: 3; Equation of the parallel line (y = mx + b): y = -1x + 3

Example 3

Slope (m) of the original line: 0.5; Y-intercept (b) of the original line: 1; X-coordinate of the point the parallel line passes through: 4; Y-coordinate of the point the parallel line passes through: 3

Slope (m) of the parallel line: 0.5; Y-intercept (b) of the parallel line: 1; Equation of the parallel line (y = mx + b): y = 0.5x + 1

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