Question

1. \\(x = 2\\)

Explanation:

Identify the equation type

Using the Graphing Linear Equations knowledge point, we analyze the given equation:

$$ x = 2 $$

This equation contains only the variable \(x\), meaning \(y\) can take any real value.

Determine the line properties

Since \(x\) is always equal to \(2\), the line consists of all points \((2, y)\). This represents a vertical line.

Find key points

We select a few points where the \(x\)-coordinate is \(2\) to help plot the line:

$$ (2, -2), \quad (2, 0), \quad (2, 2) $$

The \(x\)-intercept is at \((2, 0)\).

Draw the line

We plot these points on the coordinate plane and draw a straight vertical line passing through them.

Answer:

The graph of the equation \(x = 2\) is a vertical line passing through all points where the \(x\)-coordinate is \(2\), such as \((2, 0)\), \((2, 1)\), and \((2, -1)\).