Question

The graph of a linear equation is shown in the xy-plane above. Which of the following tables of values corresponds to the graph?

1) Pair 1: x equals 6, and y equals 10; Pair 2: x equals 12, and y equals 22; Pair 3: x equals 18, and y equals 34; Pair 4: x equals 24, and y equals 46
2) Pair 1: x equals 6, and y equals 18.5; Pair 2: x equals 12, and y equals 28; Pair 3: x equals 18, and y equals 37.5; Pair 4: x equals 24, and y equals 47
3) Pair 1: x equals 6, and y equals 15; Pair 2: x equals 12, and y equals 24; Pair 3: x equals 18, and y equals 36; Pair 4: x equals 24, and y equals 45
4) Pair 1: x equals 0, and y equals 10; Pair 2: x equals 6, and y equals 15; Pair 3: x equals 12, and y equals 27; Pair 4: x equals 18, and y equals 39
5) Pair 1: x equals 6, and y equals 15; Pair 2: x equals 12, and y equals 22.5; Pair 3: x equals 18, and y equals 30; Pair 4: x equals 24, and y equals 37.5

Answer 1

The correct table of values for the given graph is option 3.

Step-by-step explanation:

The graph of a linear equation is shown in the xy-plane above. To determine which table of values corresponds to the graph, we need to compare the given tables with the points on the graph. The correct table is 3) Pair 1: x equals 6, and y equals 15; Pair 2: x equals 12, and y equals 24; Pair 3: x equals 18, and y equals 36; Pair 4: x equals 24, and y equals 45. These values match the points on the graph.