Which of the following is an ordered pair of the relation y=−2/3x+6 ?
everyone here is wrong, the answer is (3, 4)
only answers are
(3,4)
(0,−23)
(3,8)
(1,4)
To determine if each option is an ordered pair of the relation, we need to substitute the x-value into the equation and see if it gives us the corresponding y-value.
Let's check each option:
(a) (3, 4):
When x = 3, we have:
y = -2/3 * 3 + 6
y = -6/3 + 6
y = 0 + 6
y = 6
Since y = 4, (3, 4) is not an ordered pair of the relation.
(b) (0, -23):
When x = 0, we have:
y = -2/3 * 0 + 6
y = 0 + 6
y = 6
Since y = -23, (0, -23) is not an ordered pair of the relation.
(c) (3, 8):
When x = 3, we have:
y = -2/3 * 3 + 6
y = -6/3 + 6
y = 0 + 6
y = 6
Since y = 8, (3, 8) is not an ordered pair of the relation.
(d) (1, 4):
When x = 1, we have:
y = -2/3 * 1 + 6
y = -2/3 + 6
y = 18/3 - 2/3
y = 16/3
Since y = 4, (1, 4) is an ordered pair of the relation.
Therefore, the correct answer is:
(d) (1, 4)
To determine which of the given options is an ordered pair of the relation y = -2/3x + 6, we need to check if substituting the x and y values of each option into the equation results in a true statement.
The given options are in the form of (x, y). Let's go through each one:
Option 1: (2, 4)
Substituting x = 2 and y = 4 into the equation:
4 = (-2/3)(2) + 6
4 = -4/3 + 6
4 = 6 - 4/3
4 = 18/3 - 4/3
4 = 14/3
This is false, so option 1 is not an ordered pair of the given relation.
Option 2: (-3, 8)
Substituting x = -3 and y = 8 into the equation:
8 = (-2/3)(-3) + 6
8 = 2 + 6
8 = 8
This is true, so option 2 is an ordered pair of the given relation.
Option 3: (0, 6)
Substituting x = 0 and y = 6 into the equation:
6 = (-2/3)(0) + 6
6 = 0 + 6
6 = 6
This is true, so option 3 is an ordered pair of the given relation.
Therefore, the ordered pairs that satisfy the relation y = -2/3x + 6 are option 2: (-3, 8), and option 3: (0, 6).
To determine if a pair of values is an ordered pair of the relation, we need to substitute the x-value into the equation and see if it gives us the corresponding y-value.
Let's check each option:
(a) (2, 5):
When x = 2, we have:
y = -2/3 * 2 + 6
y = -4/3 + 6
y = 6 - 4/3
y = 18/3 - 4/3
y = 14/3
So, (2, 14/3) is an ordered pair of the relation.
(b) (4, -4):
When x = 4, we have:
y = -2/3 * 4 + 6
y = -8/3 + 6
y = 18/3 - 8/3
y = 10/3
So, (4, 10/3) is an ordered pair of the relation.
(c) (0, 3):
When x = 0, we have:
y = -2/3 * 0 + 6
y = 0 + 6
y = 6
So, (0, 6) is an ordered pair of the relation.
(d) (-2, -2):
When x = -2, we have:
y = -2/3 * -2 + 6
y = 4/3 + 6
y = 18/3 + 4/3
y = 22/3
So, (-2, 22/3) is an ordered pair of the relation.
Therefore, the correct answer is:
(a) (2, 5)