Complete each table, and graph the corresponding ordered...

Complete each table, and graph the corresponding ordered pairs. Draw the line defined by the points to represent all solutions to the equation.
$$x=-4$$
$$\begin{array}{|c|c|}
\hline x & y \\
\hline & 1 \\
\hline & -2 \\
\hline & 4 \\
\hline
\end{array}$$
(Graph cant copy)

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Key Concepts

Table of Values

A table of values organizes pairs of x and y coordinates to demonstrate which points satisfy a given equation or function. It is a useful tool for visualizing how different values relate to each other, especially when setting up or verifying graphs.

Vertical Lines

Vertical lines in the coordinate plane consist of all points that share the same x-coordinate. They are described by equations in the form x = constant, meaning that no matter what the y-value is, the x-value remains the same. This concept is crucial when graphing equations like x = -4, as it shows that the line extends vertically.

Ordered Pairs

Ordered pairs are used to represent specific points in the Cartesian coordinate system. An ordered pair (x, y) indicates that a point is located x units along the horizontal axis and y units along the vertical axis, which is fundamental for plotting and graphing points on a line.

Graphing Linear Equations

Graphing linear equations involves plotting the ordered pairs found in a table of values on the coordinate plane and drawing a line through them. For equations like x = -4, this process illustrates that all the points lie perfectly vertical, demonstrating the concept of a vertical line.

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