The graph of `x=5` is :

Options

A. x - axis
B. y - axis
C. A line parallel to x - axis
D. A line parallel to y - axis.

Answer

To graph the equation \( x = 5 \), we can follow these steps:

### Step 1: Understand the Equation
The equation \( x = 5 \) indicates that for any value of \( y \), the value of \( x \) will always be 5. This means that the line will be vertical.

**Hint:** Remember that in the equation \( x = a \), the line is vertical and crosses the x-axis at the point \( (a, 0) \).

### Step 2: Draw the Coordinate Axes
Start by drawing the x-axis (horizontal) and the y-axis (vertical) on a graph paper or a coordinate plane. Label the axes.

**Hint:** Make sure to label the axes clearly to avoid confusion when plotting points.

### Step 3: Mark the Point on the X-Axis
Locate the point where \( x = 5 \) on the x-axis. This point is \( (5, 0) \).

**Hint:** You can find this point by moving 5 units to the right from the origin (0,0) along the x-axis.

### Step 4: Draw the Vertical Line
Since \( x = 5 \) is true for all values of \( y \), draw a vertical line that passes through the point \( (5, 0) \). This line should extend infinitely in both the upward and downward directions.

**Hint:** Use a ruler to ensure that the line is straight and extends clearly in both directions.

### Step 5: Label the Line
Label the line as \( x = 5 \) to indicate what the line represents.

**Hint:** Adding labels helps in identifying the equations of the lines on the graph.

### Final Graph
You should now have a vertical line that crosses the x-axis at \( (5, 0) \) and extends infinitely in both directions along the y-axis.

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