To determine which ordered pairs represent points on the graph of the equation \(-3x + 5y = -10\), we need to check each ordered pair (x, y) by substituting the values into the equation and seeing if it holds true.
Let's check a few ordered pairs:
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If (0, -2): \[ -3(0) + 5(-2) = 0 - 10 = -10 \quad \text{(True)} \]
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If (2, -2): \[ -3(2) + 5(-2) = -6 - 10 = -16 \quad \text{(False)} \]
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If (0, 2): \[ -3(0) + 5(2) = 0 + 10 = 10 \quad \text{(False)} \]
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If (5, -1): \[ -3(5) + 5(-1) = -15 - 5 = -20 \quad \text{(False)} \]
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If (-2, -1): \[ -3(-2) + 5(-1) = 6 - 5 = 1 \quad \text{(False)} \]
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If (-1, 1): \[ -3(-1) + 5(1) = 3 + 5 = 8 \quad \text{(False)} \]
Now, if you have specific ordered pairs already provided, please give them to me so that I can help verify which ones satisfy the equation. Otherwise, I can generate additional pairs or validate any others as needed.