Which of the following is an ordered pair of the relation y = - 2/3x + 6? (1 point)
O (3,4)
0 (0, -3)
• (3,8)
• (1, 4)
To determine if an ordered pair is part of the relation y = -2/3x + 6, we can substitute the x-value from the ordered pair into the equation and see if the y-value from the ordered pair is the result.
Let's check each ordered pair:
1. (3,4)
y = -2/3 * 3 + 6
y = -2 + 6
y = 4
This ordered pair is part of the relation because the y-value from the ordered pair matches the y-value when we substitute the x-value into the equation.
2. (0, -3)
If x = 0, the equation is:
y = -2/3 * 0 + 6
y = 0 + 6
y = 6
This ordered pair is not part of the relation since the y-value doesn't match; we expect y = 6, not -3.
3. (3,8)
y = -2/3 * 3 + 6
y = -2 + 6
y = 4
This ordered pair is not part of the relation because the y-value does not match; we expect y = 4, not 8.
4. (1, 4)
y = -2/3 * 1 + 6
y = -2/3 + 6
y = -2/3 + 18/3
y = (18 - 2) / 3
y = 16 / 3
y ≈ 5.33 (not exactly 4)
This ordered pair is also not part of the relation since the y-value doesn't match; we expect y ≈ 5.33, not 4.
The correct ordered pair of the given relation y = -2/3x + 6 is (3,4).