Graph each equation. x = -5

Key Concepts

Vertical Lines

The equation x = -5 represents a vertical line on the Cartesian plane. Vertical lines have the same x-coordinate for all points, meaning that no matter the value of y, x will always be -5. This results in a line that runs parallel to the y-axis and intersects the x-axis at the point (-5, 0).

Graphing Techniques

Graphing techniques involve plotting points and understanding the relationship between variables in an equation. For x = -5, one can simply mark points where x is -5 for various y values, such as (-5, -2), (-5, 0), and (-5, 3). Connecting these points visually illustrates the vertical line.

Coordinate System

The coordinate system is a two-dimensional plane defined by the x-axis (horizontal) and y-axis (vertical). Each point on this plane is represented by an ordered pair (x, y). Understanding this system is crucial for accurately graphing equations and interpreting their geometric representations.