Question

graph the line $x = 5$.

Explanation:

Step1: Understand the equation \(x = 5\)

The equation \(x = 5\) represents a vertical line. In a coordinate plane, for any point on this line, the \(x\)-coordinate is always \(5\), and the \(y\)-coordinate can be any real number.

Step2: Locate \(x = 5\) on the x - axis

On the given coordinate grid, find the position where \(x = 5\) on the \(x\)-axis. This is 5 units to the right of the origin (where \(x = 0\) and \(y = 0\)) along the horizontal \(x\)-axis.

Step3: Draw the vertical line

Draw a straight vertical line passing through the point \((5,y)\) for all values of \(y\). This line will be parallel to the \(y\)-axis and will intersect the \(x\)-axis at \((5,0)\) and will extend infinitely in the positive and negative \(y\)-directions.

(Note: Since this is a graphing problem, the final answer is the graph of the vertical line \(x = 5\) as described above. If we were to describe the key points, the line passes through \((5,0)\), \((5,2)\), \((5, - 2)\), etc. But the main action is to draw the vertical line at \(x = 5\) on the given grid.)

Answer:

The graph of \(x = 5\) is a vertical line passing through the point \((5,0)\) (and all points with \(x\)-coordinate 5) on the coordinate grid, parallel to the \(y\)-axis.