To be able to determine which table would correctly graph the equation y = 3x, let's one pair of data in the table and substitute it to the equation. The data that satisfies the equation is therefore the one that would correctly graph the equation.
We get,
A.) x = 0 and y = 2
y = 3x
2 = 3(0)
2 = 0
Therefore, this table will not correctly graph the equation.
B.) x = 0 and y = 4
y = 3x
4 = 3(0)
4 = 0
Therefore, this table will not correctly graph the equation.
C.) x = 0 and y = 1
y = 3x
1 = 3(0)
1 = 0
Therefore, this table will not correctly graph the equation.
D.) x = 0 and y = 0
y = 3x
0 = 3(0)
0 = 0
Therefore, this table will correctly graph the equation.
The answer is letter D.