Which of the following is an ordered pair of the relation
y = − 23x + 6?
A. (0, −23)
B. (1, 4)
C. (3, 8)
D. (3, 4)
To find the ordered pair for a given relation, we need to substitute values for x and solve for y. Let's try each option:
A. (0, −23)
Putting x = 0 in the equation, we get y = 6. So the ordered pair is (0, 6) and not (0, -23).
B. (1, 4)
Putting x = 1 in the equation, we get y = -23 + 6 = -17. So the ordered pair is (1, -17) and not (1, 4).
C. (3, 8)
Putting x = 3 in the equation, we get y = -23(3) + 6 = -69 + 6 = -63. So the ordered pair is (3, -63) and not (3, 8).
D. (3, 4)
Putting x = 3 in the equation, we get y = -23(3) + 6 = -69 + 6 = -63. So the ordered pair is (3, -63), which is not listed among the options.
Therefore, there is no ordered pair among the given options that satisfies the given relation.
To determine if an ordered pair is part of the given relation, substitute the values for x and y into the equation y = -23x + 6 and see if the equation holds true.
A. (0, -23):
Substituting x = 0 and y = -23, we get: -23 = -23(0) + 6 -> -23 = 6
Since -23 is not equal to 6, this ordered pair is not part of the relation.
B. (1, 4):
Substituting x = 1 and y = 4, we get: 4 = -23(1) + 6 -> 4 = -23 + 6 -> 4 = -17
Since 4 is not equal to -17, this ordered pair is not part of the relation.
C. (3, 8):
Substituting x = 3 and y = 8, we get: 8 = -23(3) + 6 -> 8 = -69 + 6 -> 8 = -63
Since 8 is not equal to -63, this ordered pair is not part of the relation.
D. (3, 4):
Substituting x = 3 and y = 4, we get: 4 = -23(3) + 6 -> 4 = -69 + 6 -> 4 = -63
Since 4 is equal to -63, this ordered pair is part of the relation.
Therefore, the ordered pair that is part of the relation is D. (3, 4).