1.5.7 Lesson Summary

In this lesson, you learned how to:

• Use graphing technology to graph linear equations and identify solutions to the equations.
• Explain how the coordinates of the points on the graph of a linear equation are related to the equation.
• Explain the meaning of points on a graph in terms of the situation it represents when given the graph of a linear equation.

Here are the activities that helped you reach those goals:

• 1.5.1: Analyzing Graphs of Linear Equations 
  • In this activity, you compared the characteristics of similar, yet different, graphs. In graphs, slopes, intercepts, axis labels, and where points are located can all create different meanings.
• 1.5.2: Graphing Linear Functions in Two Variables
  • In this activity, you reviewed how to graph points on a coordinate plane and then used your understanding to find and graph the $x$- and $y$-intercepts of an equation written in standard form. With these intercepts, you calculated the slope of the line.
  • 1.5.2: Self Check
  • 1.5.2: Additional Resources
• 1.5.3: Examining an Equation in Two Variables and Its Graph, Part 1
  • In this activity, you determined if a point was on the graph of a linear equation and what the meaning of that point was in a given situation
  • 1.5.3: Self Check
  • 1.5.3: Additional Resources
• 1.5.4: Writing, Graphing, and Solving a Linear Equation
  • In this activity, you wrote equations, graphed the equations, and used the graph to help solve the equations and find the meaning of solutions.
  • 1.5.4: Self Check
  • 1.5.4: Additional Resources
• 1.5.5: Examining an Equation in Two Variables and Its Graph, Part 2
  • In this activity, you wrote equations to express relationships. You also looked at graphs and determined the meaning of points on the graph to answer questions.

After these activities, you completed the following practice:

• 1.5.6: Practice