Choose the description of the graph of the equation x = -8
a. A horizontal line through the -8
b. A horizontal line through the 8
c. A vertical line through the -8
d. A vertical line through the 8
Grab a piece of graph paper (or just make one with a few marks) and graph y of any value you choose and -8 for x. What kind of line do you get?
To determine the description of the graph of the equation x = -8, let's analyze the equation and its variables.
The equation x = -8 is a simple linear equation with one variable, x, and a constant, -8. This equation indicates that the value of x is fixed at -8, regardless of the value of y.
To visualize this on a graph, you can use a piece of graph paper or create a simple coordinate system with x and y axes.
1. Choose any value for y and mark it on the y-axis. Let's say we choose y = 3.
2. Plot the corresponding point on the graph at y = 3 and x = -8, which is indicated by the equation. This point is (-8, 3).
3. Repeat the process for a few more values of y if you like. Each time, you will consistently find that the x-coordinate is always -8, while the y-coordinate can vary.
By connecting all these points, you will notice that they form a vertical line that passes through the x-coordinate -8.
Therefore, the correct description of the graph of the equation x = -8 is a vertical line through the -8, which corresponds to option c.