Graphing 2 - Ordered Pairs as Solutions to Equations

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.

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.

• 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?