Final answer:
To determine which ordered pair is a solution of the equation y=-2x+5, substitute the x and y values of each ordered pair into the equation and check if the equation is satisfied. The correct answer is (B) Only (-2,9).
Step-by-step explanation:
To determine which ordered pair is a solution of the equation y=-2x+5, substitute the x and y values of each ordered pair into the equation and check if the equation is satisfied.
(A) Only (2,-9):
y = -2(2) + 5 = -4 + 5 = 1, which does not satisfy the equation. Therefore, (2,-9) is not a solution.
(B) Only (-2,9):
y = -2(-2) + 5 = 4 + 5 = 9, which satisfies the equation. Therefore, (-2,9) is a solution.
Hence, the correct answer is (B) Only (-2,9).