Parallel Lines

Parallel lines are lines in a plane that never meet or intersect. They have the same slope and will always remain the same distance apart. When graphed on the coordinate plane, parallel lines have the same steepness, but different y-intercepts.

Key Concepts

1. Slope: Parallel lines have the same slope. The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line.
2. Distance: Parallel lines are always equidistant from each other. This means that the perpendicular distance between the lines is constant.
3. Equations: The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Parallel lines have the same slope but different y-intercepts.

Study Guide

Here are some key points to remember when studying parallel lines:

• Understand the concept of slope and how it relates to the steepness of a line.
• Practice identifying parallel lines on a graph and determining their equations.
• Remember that parallel lines have the same slope but different y-intercepts.
• Work on problems involving the distance between parallel lines and how it remains constant.

Remember to practice solving problems involving parallel lines to solidify your understanding of the concept!