Solving Equations in Two Variables: Tables and Graphs

This video tutorial teaches how to solve equations in two variables by making a table and graphing solutions. It begins with an introduction to solutions and ordered pairs, explaining how to graph them. Common misunderstandings in graphing ordered pairs are addressed, followed by a demonstration of graphing linear equations. The tutorial then explores non-linear equations, showing how their graphs differ from linear ones. The lesson concludes with a summary of the key concepts covered.

What is the correct ordered pair for the equation y = 2X when X is 4?

• (2, 8)

• (8, 4)

• (4, 8)

• (4, 4)

Which of the following statements is true about ordered pairs?

• Ordered pairs are written as YX.

• Ordered pairs are written as XYX.

• The Y value is always written first.

• The X value is always written first.

What does a line on a graph represent in terms of a linear equation?

• No solutions to the equation

• All possible solutions to the equation

• Only one solution to the equation

• A single point on the graph

How does the graph of y = X^2 differ from y = 2X?

• It is a horizontal line.

• It is a vertical line.

• It is a straight line.

• It is a curve.

What is the Y value when X is -2 in the equation y = X^2?

• 0

• 4

• 2

• 8