Question

choose the best graph that represents the linear equation:
x = -3
graph a
graph of a coordinate plane with a vertical line
graph b
graph of a coordinate plane (partially shown)

Explanation:

Step 1: Recall the form of \( x = a \)

The equation \( x=-3 \) represents a vertical line. A vertical line has an undefined slope, and for every point on this line, the x - coordinate is \( - 3 \), while the y - coordinate can be any real number.

Step 2: Analyze the graphs

We need to find the graph with a vertical line passing through \( x=-3 \) on the x - axis. If Graph A (the first graph) has a vertical line at \( x = - 3 \) (after correcting for possible grid - label misprints), then it is the correct graph for the equation \( x=-3 \).

Answer:

The graph that represents \( x = -3 \) should be a vertical line passing through \( x = -3 \) on the x - axis. Looking at Graph A, we need to check the x - coordinate of the vertical line. Wait, maybe there is a mis - representation in the initial Graph A description. Wait, the equation is \( x=-3 \), so the vertical line should pass through \( x = - 3 \). But in the given Graph A, the vertical line seems to be at \( x = 4 \) (from the grid). Wait, maybe there is a typo in the problem's Graph A description. Wait, no, maybe I misread. Wait, the correct graph for \( x=-3 \) is a vertical line where all points have \( x=-3 \). So if Graph A (assuming maybe a mis - label) or maybe the user made a typo. Wait, no, perhaps the original problem has Graph A with a vertical line at \( x=-3 \). Wait, maybe the user's Graph A has a vertical line at \( x = - 3 \). Wait, given the options, if Graph A (the first graph) has a vertical line at \( x=-3 \) (maybe the grid labels were mis - written), then the answer is Graph A. But based on the equation \( x=-3 \), the correct graph is a vertical line through \( x=-3 \). So assuming that Graph A (the first graph) is the one with the vertical line at \( x=-3 \) (maybe the x - axis labels were mis - printed), the answer is Graph A.