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
(3,4)
left parenthesis 3 comma 4 right parenthesis
(3,8)
left parenthesis 3 comma 8 right parenthesis
(1,4)
To determine which of the given options is an ordered pair of the relation y = -23x + 6, we need to substitute the values of x and y into the equation and check if they satisfy the equation.
Let's go through each option one by one:
1. (0, -23): Substituting x = 0 and y = -23 into the equation, we get -23 = -23(0) + 6. Simplifying, -23 = 6. This statement is not true, so (0, -23) is not an ordered pair of the relation.
2. (3, 4): Substituting x = 3 and y = 4 into the equation, we get 4 = -23(3) + 6. Simplifying, 4 = -69 + 6, which is equivalent to 4 = -63. This is not true, so (3, 4) is not an ordered pair of the relation.
3. (3, 8): Substituting x = 3 and y = 8 into the equation, we get 8 = -23(3) + 6. Simplifying, 8 = -69 + 6, which is equivalent to 8 = -63. This is not true, so (3, 8) is not an ordered pair of the relation.
4. (1, 4): Substituting x = 1 and y = 4 into the equation, we get 4 = -23(1) + 6. Simplifying, 4 = -23 + 6, which is equivalent to 4 = -17. This is not true, so (1, 4) is not an ordered pair of the relation.
Therefore, none of the given options is an ordered pair of the relation y = -23x + 6.