Lesson 2A: Linear Equations

Understanding how to solve and graph linear equations through interactive examples.

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Watch the Lesson Video

This embedded player demonstrates key concepts of linear equations, including solving steps and graphing techniques on Cartesian planes.

Understanding Linear Equations

What is a Linear Equation?

A linear equation is an equation that forms a straight line when graphed. It follows the form y = mx + b, where:

  • m is the slope
  • b is the y-intercept

Solving Steps

  1. Identify the values of m and b
  2. Plot the y-intercept on the graph
  3. Use the slope to find additional points
  4. Draw a straight line connecting the points

Graph Visualizer

Adjust Parameters

Try It Yourself

Problem 1

What is the equation of a line with a slope of 3 and a y-intercept of -4? y = ___x + ___

Problem 2

Given the equation y = 2x + 5, what are the coordinates when x = 3?

= 2(3) + 5 =
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