Question

graph the line $x = -7$.

Explanation:

Step1: Understand the equation type

The equation \( x = -7 \) represents a vertical line. For a vertical line, the \( x \)-coordinate is constant (\( x=-7 \)) for all values of \( y \).

Step2: Locate \( x = -7 \) on the x - axis

On the given coordinate grid, find the point where \( x=-7 \) on the x - axis. This is a point 7 units to the left of the origin (since \( x \) is negative) on the horizontal (x) axis.

Step3: Draw the vertical line

Since the line \( x = -7 \) is vertical, we draw a straight line passing through the point \( x=-7 \) on the x - axis and parallel to the y - axis. This line will have all points with an \( x \)-coordinate of -7, regardless of the \( y \)-coordinate (the \( y \)-coordinate can be any real number, positive, negative, or zero).

(Note: To actually draw it on the grid, we can mark points like \((-7, 0)\), \((-7, 1)\), \((-7, -1)\), \((-7, 2)\), \((-7, -2)\) etc., and then connect them with a straight line. )

Answer:

To graph \( x=-7 \), draw a vertical line passing through \( x = -7 \) on the x - axis (parallel to the y - axis). The line will include all points where the \( x \)-coordinate is -7 (e.g., \((-7, y)\) for any real number \( y\)).