Question

look at this graph: write the equation of the line.

Explanation:

Step1: Identify the line type

The graph shows a vertical line. For a vertical line, the \( x \)-coordinate is constant for all points on the line.

Step2: Determine the constant \( x \)-value

Looking at the graph, the vertical line passes through \( x = -4 \) (since it intersects the \( x \)-axis at \( x = -4 \) and is vertical, so all points on the line have \( x = -4 \)).

Step3: Write the equation

The equation of a vertical line is \( x = a \), where \( a \) is the constant \( x \)-coordinate. Here, \( a = -4 \), so the equation is \( x = -4 \).

Answer:

\( x = -4 \)