Graphing Linear Equations

Understanding Linear Equations

A linear equation is an equation between two variables that gives a straight line when plotted on a graph. Let's explore how to graph these fascinating equations.

The Standard Form

Linear equations are often written in the form y = mx + b, where m is the slope and b is the y-intercept.

Graphing Step-by-Step

  1. Identify the slope (m) and y-intercept (b).
  2. Plot the y-intercept on the graph. This is the point (0, b).
  3. Use the slope to find another point. From the y-intercept, use the slope to find another point on the graph. For example, a slope of 2 means you go up 2 units for every 1 unit you go to the right.
  4. Draw the line through the points. This line represents the equation.

Interactive Practice

Use this interactive tool to practice graphing linear equations:

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