Linear equations are mathematical expressions that represent straight lines and form the basis of algebra. They are widely used in various fields such as physics, economics, and engineering. Here's a quick overview:

📌 Definition

A linear equation in two variables (x and y) is typically written as:
y = mx + b

  • m = slope of the line
  • b = y-intercept

💡 Tip: The graph of a linear equation is always a straight line, unlike nonlinear equations which produce curves.

🧮 Standard Form

The general form of a linear equation is:
Ax + By = C
Where:

  • A, B, and C are constants
  • x and y are variables

For example:
2x + 3y = 6

Linear Equation

📈 Graphing

To graph a linear equation:

  1. Identify the slope and intercept
  2. Plot the y-intercept on the coordinate plane
  3. Use the slope to find additional points
  4. Draw the line through these points

📊 Visual Guide: Explore graphing techniques for a deeper understanding.

🧠 Applications

Linear equations model real-world scenarios like:

  • Calculating speed and distance
  • Budgeting and cost analysis
  • Simple interest calculations

🧩 Challenge: Can you solve this equation? y = 2x + 5 when x = 3.

📚 Further Reading

For more examples and practice problems:
Visit our Linear Equations Examples page

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