Question

write the equation of the line graphed below in simplest form.

Explanation:

Step1: Identify the line type

The graph is a vertical line. Vertical lines have an undefined slope and their equation is of the form \( x = a \), where \( a \) is the x - coordinate of any point on the line.

Step2: Determine the x - coordinate

Looking at the graph, the vertical line passes through \( x = 1 \) (since it intersects the x - axis at \( x = 1 \) and is parallel to the y - axis). So the equation of the line is \( x = 1 \).

Answer:

\( x = 1 \)