Which of the following is an ordered pair of the relation y=−23x+6 ?(1 point)
Responses
(0,−23)
left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis
(1,4)
left parenthesis 1 comma 4 right parenthesis
(3,8)
left parenthesis 3 comma 8 right parenthesis
(3,4)
The ordered pair (3,8) is an ordered pair of the relation y=−23x+6.
what do we do
To determine if an ordered pair is a solution to a given relation, we substitute the values of x and y from the ordered pair into the equation and see if the equation holds true.
In this case, we have the equation y = -23x + 6.
Let's check if the ordered pair (3,8) satisfies the equation by substituting 3 for x and 8 for y:
8 = -23(3) + 6
8 = -69 + 6
8 = -63
Since the equation does not hold true, the ordered pair (3,8) is not a solution to the relation y = -23x + 6.
Instead, the correct answer is (1,4).
To determine if a given ordered pair is part of the relation y = -23x + 6, we substitute the values of x and y from each ordered pair into the equation and check if it is true.
Let's go through each option to see which one satisfies the equation:
Option (0, -23):
Substituting x = 0 and y = -23 into y = -23x + 6:
-23 = -23(0) + 6
-23 = 6
This is not true, so (0, -23) is not an ordered pair of the relation y = -23x + 6.
Option (1, 4):
Substituting x = 1 and y = 4 into y = -23x + 6:
4 = -23(1) + 6
4 = -23 + 6
4 = -17
This is not true, so (1, 4) is not an ordered pair of the relation y = -23x + 6.
Option (3, 8):
Substituting x = 3 and y = 8 into y = -23x + 6:
8 = -23(3) + 6
8 = -69 + 6
8 = -63
This is not true, so (3, 8) is not an ordered pair of the relation y = -23x + 6.
Option (3, 4):
Substituting x = 3 and y = 4 into y = -23x + 6:
4 = -23(3) + 6
4 = -69 + 6
4 = -63 + 6
4 = -57
This is not true, so (3, 4) is not an ordered pair of the relation y = -23x + 6.
None of the given options are ordered pairs of the relation y = -23x + 6.