Question

graph the line $x = 5$ on the axes shown below.
type of line: choose one
coordinate plane with x-axis from -10 to 10 and y-axis from -8 to 10, origin at (0,0)

Explanation:

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

The equation \(x = 5\) represents a vertical line. In a coordinate plane, a vertical line has an undefined slope and passes through all points where the \(x\)-coordinate is \(5\), regardless of the \(y\)-coordinate.

Step2: Identify the position on the x - axis

Locate \(x = 5\) on the \(x\)-axis. This is the point where the \(x\)-coordinate is \(5\) and the \(y\)-coordinate can be any real number.

Step3: Draw the line

Draw a vertical line passing through the point \((5, y)\) for all values of \(y\). This line will be parallel to the \(y\)-axis and intersect the \(x\)-axis at \((5, 0)\). For the "Type of line" dropdown, since \(x = 5\) is a vertical line, we choose "Vertical" (if that is an option in the dropdown). Then, on the graph, we draw a straight vertical line through \(x = 5\) (the point at \(x = 5\) on the \(x\)-axis, extending up and down along the \(y\)-direction).

Answer:

The line \(x = 5\) is a vertical line. To graph it, draw a vertical line through the point \((5,0)\) (and all points with \(x = 5\)) on the coordinate plane. The type of line is vertical.