The graph of y = a is

Options

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

Answer

To solve the question "The graph of y = a is", we will follow these steps:

### Step 1: Understand the equation y = a
The equation y = a represents a horizontal line on the coordinate plane where the value of y is constant. Here, 'a' is a specific value that y takes.

**Hint:** Remember that in the equation y = a, 'a' can be any real number.

### Step 2: Identify the axes
In the coordinate plane, we have two axes: the x-axis (horizontal) and the y-axis (vertical).

**Hint:** The x-axis represents all possible values of x, while the y-axis represents all possible values of y.

### Step 3: Draw the axes
Draw the x-axis and the y-axis on a graph. Label the axes appropriately.

**Hint:** Make sure to mark equal intervals on both axes for accurate representation.

### Step 4: Plot the line y = a
Since y = a is a horizontal line, you will plot a straight line that runs parallel to the x-axis at the height 'a' on the y-axis. For example, if a = 3, you would draw a line that crosses the y-axis at the point (0, 3).

**Hint:** The line will not change as you move along the x-axis; it will always stay at the same height 'a'.

### Step 5: Label the graph
Label the line as y = a to indicate that it represents the equation you started with.

**Hint:** Clear labeling helps in understanding the graph better.

### Final Solution:
The graph of y = a is a horizontal line that runs parallel to the x-axis at the height 'a' on the y-axis.

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