Graphing Equations with One Variable: Examining Solution Sets

This video tutorial teaches how to graph equations with one variable by examining solution sets. It explains ordered pairs, their role in making equations true, and the differences between lines in the form of X = a and Y = a. The tutorial also covers identifying and plotting ordered pairs on a grid, with a focus on graphing lines like Y = 4. Students learn to distinguish between functions and non-functions based on the number of outputs for each input.

What does a line represent in the context of graphing equations?

• Only the X-intercepts of the equation

• All ordered pairs that satisfy the equation

• The maximum value of the equation

• A single solution to the equation

Why are lines in the form of X = a not considered functions?

• They have only one output for each input

• They do not intersect the Y-axis

• They have multiple outputs for a single input

• They have no outputs

What is true about lines in the form of Y = a?

• They do not intersect the X-axis

• They have multiple outputs for a single input

• They are not functions

• They have only one output for each input

In the example of X = -2, what do all the points on the line have in common?

• They all have the same Y-coordinate

• They all have the same X-coordinate

• They all lie on the Y-axis

• They all have different X and Y coordinates

What does the line Y = 4 represent on a graph?

• All points with Y-coordinate of -4

• All points with Y-coordinate of 4

• All points with X-coordinate of 4

• All points with X-coordinate of -4