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QUESTION IMAGE

write the equation of the line.

Question

write the equation of the line.

Explanation:

Step1: Identify the line type

The line is vertical, passing through \( x = -1 \) (wait, looking at the grid, the vertical line is at \( x=-1 \)? Wait, no, the grid: the vertical line is at \( x = -1 \)? Wait, no, the y-axis is at \( x=0 \), and the other vertical line is at \( x=-1 \)? Wait, no, looking at the graph, the vertical line is at \( x = -1 \)? Wait, no, the grid lines: each square is 1 unit. The vertical line is at \( x=-1 \)? Wait, no, the left vertical line (other than y-axis) is at \( x=-1 \)? Wait, no, the y-axis is \( x=0 \), and the line is at \( x=-1 \)? Wait, no, maybe I misread. Wait, the graph: the vertical line is at \( x=-1 \)? Wait, no, let's check the x-coordinates. The line is vertical, so its equation is \( x = a \), where \( a \) is the x-coordinate of any point on the line. Looking at the grid, the vertical line is at \( x=-1 \)? Wait, no, the y-axis is \( x=0 \), and the line is at \( x=-1 \)? Wait, maybe the line is \( x = -1 \)? Wait, no, maybe I made a mistake. Wait, the graph: the vertical line is at \( x=-1 \)? Wait, let's see the grid. The x-axis has ticks at -10, -8, -6, -4, -2, 0, 2, 4, 6, 8, 10. The vertical line is at \( x=-1 \)? No, wait, the vertical line is at \( x=-1 \)? Wait, no, the line is at \( x=-1 \)? Wait, maybe the line is \( x = -1 \). Wait, no, let's check again. The vertical line is parallel to the y-axis, so its equation is \( x = c \), where \( c \) is the x-intercept. Looking at the graph, the vertical line passes through \( x=-1 \)? Wait, no, the grid: each square is 1 unit. The vertical line is at \( x=-1 \)? Wait, maybe the line is \( x = -1 \). Wait, no, maybe I misread. Wait, the line is at \( x=-1 \). So the equation of a vertical line is \( x = a \), where \( a \) is the x-coordinate. So if the line is vertical at \( x=-1 \), then the equation is \( x = -1 \). Wait, but maybe I made a mistake. Wait, let's check the graph again. The vertical line is at \( x=-1 \)? Yes, because the y-axis is at \( x=0 \), and the line is one unit to the left, so \( x=-1 \).

Step2: Write the equation

For a vertical line, the equation is \( x = a \), where \( a \) is the x-coordinate of any point on the line. Since the line is vertical and passes through \( x=-1 \), the equation is \( x = -1 \).

Answer:

\( x = -1 \)