Graph these equations:

Question

x=–6

Answer 1

To graph the equation \( x = -6 \), you can follow these steps:

1. Understand the equation: The equation \( x = -6 \) represents a vertical line where every point on this line has an x-coordinate of -6. The y-coordinate can be any real number.

2. Plot the points: Choose various values for \( y \). For example, you can take \( y = -10, -5, 0, 5, 10 \):

   • When \( y = -10 \), the point is \((-6, -10)\)
   • When \( y = -5 \), the point is \((-6, -5)\)
   • When \( y = 0 \), the point is \((-6, 0)\)
   • When \( y = 5 \), the point is \((-6, 5)\)
   • When \( y = 10 \), the point is \((-6, 10)\)

3. Draw the line: Plot these points on a coordinate plane and draw a vertical line through them. This line extends infinitely in both the upward and downward directions.

The line will look like this:

   |
10 |      o
   |
 5 |      o
   |
 0 |      o
   |
-5 |      o
   |
-10|      o
   |
   |____________
        -6

This is a simple representation, and the actual graph will have a line that goes infinitely in both directions along \( y \) at \( x = -6 \).