Which of the following graphs below represents the equation $x=3$?

• A.
• B.
• C.
• D.

Answer: (D)

Verified step by step guidance

1. Step 1: Understand the equation \(x = 3\). This equation means that for every point on the graph, the x-coordinate is always 3, regardless of the y-coordinate.
2. Step 2: Recognize that the graph of \(x = 3\) is a vertical line because the x-value does not change, but the y-value can be any number.
3. Step 3: Examine each graph to identify which one shows a vertical line crossing the x-axis at \(x = 3\).
4. Step 4: The first two graphs show diagonal lines, which represent equations where both x and y change, so they do not match \(x = 3\).
5. Step 5: The third graph shows a horizontal line, which corresponds to an equation like \(y = c\), not \(x = 3\). The fourth graph shows a vertical line crossing the x-axis at \(x = 3\), which matches the equation \(x = 3\).