Answer:
B) Only (-2, 9)
Step-by-step explanation:
To find out which of the given options is the solution to the linear equation, y = -2x + 5:
We can substitute the values of the given options to see whether they provide a true statement.
A) (2, -9):
y = -2x + 5
-9 = -2(2) + 5
-9 = -4 + 5
-9 = 1 (False statement. Therefore, this option is not included as a solution).
B) Only (-2, 9):
9 = -2(-2) + 5
9 = 4 + 5
9 = 9 (True statement. Thus, (-2, 9) is a solution to the given linear equation).
We no longer have to test options C and D because we already tested (2, -9) and determined that it's not a solution.
Therefore, the correct answer is option B) Only (-2, 9).
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