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. $y=2x+5$