Parallel, Perpendicular and Intersecting Lines Formulas

The formulas of useful for parallel, perpendicular and intersecting lines are mentioned below:

Slope Formula:

• The slope (m) of a line passing through points (x1, y1) and (x2, y2) is given by:
• m = (y₂ – y₁)/(x₂ – x₁)

Parallel Lines:

• Two lines are parallel if and only if their slopes are equal. That is, if two lines have slopes m₁ and m₂
• They are parallel if m₁ = m₂

Perpendicular Lines:

• Two lines are perpendicular if the product of their slopes is -1. That is, if two lines have slopes m1 and m2
• They are perpendicular if m₁ × m₂ = −1.

Intersecting Lines:

• Intersecting lines has unique solution
• The intersection point of two lines can be found by solving their equations simultaneously.

Parallel, Perpendicular and Intersecting lines are three types of lines based on their properties. This article provide worksheet for practice of questions based on parallel, perpendicular and intersecting lines. This article also contain, formula and solved examples to make you understand how to solve the worksheet