About Parallel Lines

What are Parallel Lines?

Parallel lines are two or more lines in a plane that never intersect. They maintain a constant distance from each other at all points.

Formula for Parallel Lines

The general equation for a line is:

Where:

• \(m\) is the slope of the line
• \(b\) is the y-intercept

For parallel lines, the slopes (\(m\)) are equal, but the y-intercepts (\(b\)) are different.

Calculation Steps

1. Choose a slope \(m\)
2. Select different y-intercepts \(b_1\), \(b_2\), ..., \(b_n\)
3. Generate equations: \(y = mx + b_1\), \(y = mx + b_2\), ..., \(y = mx + b_n\)

Example

Let's create three parallel lines with a slope of 2:

1. \(y = 2x + 1\)
2. \(y = 2x + 3\)
3. \(y = 2x + 5\)