Which of the following is an ordered pair of the relation y = —2/3x + 6
(1,4)
(3,4)
(3,8)
(0, -2/3)
To determine which of the given pairs are ordered pairs of the relationship y = -2/3x + 6, we substitute the given x and y values into the equation and check if they create a true statement.
Let's test each option:
Option 1: x = 1, y = 4
y = -2/3 * x + 6
4 = -2/3 * 1 + 6
4 = -2/3 + 6
4 = 5 1/3 -> False
Option 2: x = 3, y = 4
y = -2/3 * x + 6
4 = -2/3 * 3 + 6
4 = -2 + 6
4 = 4 -> True
Option 3: x = 3, y = 8
y = -2/3 * x + 6
8 = -2/3 * 3 + 6
8 = -2 + 6
8 = 4 -> False
Option 4: x = 0, y = -2/3
y = -2/3 * x + 6
-2/3 = -2/3 * 0 + 6
-2/3 = 6 -> False
Therefore, the ordered pair that satisfies the relationship y = -2/3x + 6 is (3, 4).