Which of the following is an ordered pair of the relation y=−23x+6 ?(1 point) Responses (3,4) left parenthesis 3 comma 4 right parenthesis (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)
To determine which of the given pairs is an ordered pair of the relation y = -23x + 6, you need to substitute the values of x and y from each pair into the equation and see if they satisfy it.
Let's go through each option:
1. Pair: (3,4)
When we substitute x = 3 and y = 4 into the equation:
4 = -23(3) + 6
4 = -69 + 6
4 = -63
The equation is not satisfied, so (3,4) is not an ordered pair of the relation y = -23x + 6.
2. Pair: (0, -23)
When we substitute x = 0 and y = -23 into the equation:
-23 = -23(0) + 6
-23 = 6
The equation is not satisfied, so (0, -23) is not an ordered pair of the relation y = -23x + 6.
3. Pair: (1,4)
When we substitute x = 1 and y = 4 into the equation:
4 = -23(1) + 6
4 = -23 + 6
4 = -17
The equation is not satisfied, so (1,4) is not an ordered pair of the relation y = -23x + 6.
4. Pair: (3,8)
When we substitute x = 3 and y = 8 into the equation:
8 = -23(3) + 6
8 = -69 + 6
8 = -63
The equation is not satisfied, so (3,8) is not an ordered pair of the relation y = -23x + 6.
Therefore, none of the given pairs is an ordered pair of the relation y = -23x + 6.