Question

Which order pair satisfy the function y=5/6x+2. Select all that apply.

1.(-6,3)
2.(-12,8)
3.(6,7)
4.(7,-4)

Answer 1

After substituting the x values from each ordered pair into the function y = 5/6x + 2, it is determined that only the ordered pair (6, 7) satisfies the equation.

Step-by-step explanation:

To determine which ordered pairs satisfy the function y = \frac{5}{6}x + 2, we substitute each x value from the ordered pairs into the equation and check if the resulting y value matches the one in the ordered pair.

1. For the ordered pair (-6, 3), plug in x = -6: y = \frac{5}{6}(-6) + 2 = -5 + 2 = -3. This does not match the y value of 3, so (-6, 3) does not satisfy the equation.
2. For the ordered pair (-12, 8), plug in x = -12: y = \frac{5}{6}(-12) + 2 = -10 + 2 = -8. This does not match the y value of 8, so (-12, 8) does not satisfy the equation.
3. For the ordered pair (6, 7), plug in x = 6: y = \frac{5}{6}(6) + 2 = 5 + 2 = 7. This matches the y value, so (6, 7) satisfies the equation.
4. For the ordered pair (7, -4), plug in x = 7: y = \frac{5}{6}(7) + 2 = \frac{35}{6} + \frac{12}{6} = \frac{47}{6}. This does not result in -4, so (7, -4) does not satisfy the equation.

Thus, the only ordered pair that satisfies the equation is (6, 7).