Graphing 2 - Ordered Pairs as Solutions to Equations

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Taught by YourMathGal
  • Currently 3.0/5 Stars.
9771 views | 2 ratings
Part of video series
Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn about linear equations in two variables, and how any ordered pair that makes the equation true is a solution. We go through examples of finding ordered pairs that satisfy the equation, and then graphing these ordered pairs on a graph to represent all the solutions to the equation. We also learn how to determine if a given ordered pair is a solution to an equation, which is useful for checking our work when graphing the solutions.

Lesson Description:

Covers how to determine is a given ordered pair is a solution to an equation and therefore a point on the line. Also shows how to find ordered pair solutions to a linear equation. This is part 2 of a series of videos about graphing lines.

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Questions answered by this video:
  • What is a linear equation in two variables?
  • What are some examples of linear equations in two variables?
  • What is an example of an equation that has infinitely many solutions?
  • How do you find all solutions to an equation that has infinitely many solutions?
  • What are some solutions to the equation x + y = 5?
  • How do you show all of the solutions to x + y = 5 by graphing a line by plotting points?
  • Which of the ordered pairs (2, 3), (3, 7), (0, 2), and (-1, -3) are solutions to y = 2x - 1?
  • How can you check to see if an ordered pair is a solution to an equation?
  • Is (4, -6) a solution of 2y = -3x?
  • Is (-6, 4) a solution of 2y = -3x?
  • Is (5, -1) a solution of 2x - y = 9?
  • Staff Review

    • Currently 4.0/5 Stars.
    This video gets into graphing linear equations with two variables by plotting solution points and connecting them. The idea of an ordered pair being one of infinitely many solutions to an equation is explained, and this idea is used to graph equations.
  • phsmath

    • Currently 3.0/5 Stars.
    super cool