Graph-to-Table Matching: Analyzing Two-Segment Linear Graph in Coordinate Plane

To find the table corresponding to the graph, let's proceed step-by-step:

• Step 1: Identify points from the graph.
• Step 2: Deduce the coordinates by examining the graph.
• Step 3: Compare these coordinates to those listed in the choices.

Step 1: Observing the graph, it passes through the following points: $(-3,1)$, $(0,1)$, and $(3,0)$.

Step 2: We deduce these points by checking intersections where the line crosses a visible grid point.

Step 3: Now, compare these points to the tables given in the options:

• Choice 1: Matches $(-3,1)$, $(0,1)$, $(3,0)$.
• Choice 2, 3, and 4: Do not match these points based on given coordinates.

Therefore, the table that matches the graph's data points is Choice 1.

The correct table according to the graph is: $\begin{array}{|c|c|c|}\hline X & -3 & 0 & 3 \\ \hline Y & 1 & 1 & 0 \\ \hline \end{array}$