To determine which ordered pairs represent points on the graph of the equation \(-5x + 4y = 10\), we can plug in the x and y values of each ordered pair into the equation.
Let's check some example ordered pairs:
-
(0, 2.5): \[ -5(0) + 4(2.5) = 0 + 10 = 10 \quad \text{(True)} \]
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(2, 0): \[ -5(2) + 4(0) = -10 + 0 = -10 \quad \text{(False)} \]
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(2, 5): \[ -5(2) + 4(5) = -10 + 20 = 10 \quad \text{(True)} \]
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(1, 3): \[ -5(1) + 4(3) = -5 + 12 = 7 \quad \text{(False)} \]
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(-1, 1): \[ -5(-1) + 4(1) = 5 + 4 = 9 \quad \text{(False)} \]
-
(4, 0): \[ -5(4) + 4(0) = -20 + 0 = -20 \quad \text{(False)} \]
-
(0, 2.5): \[ -5(0) + 4(2.5) = 0 + 10 = 10 \quad \text{(True)} \]
Based on this, the pairs that satisfy the equation \(-5x + 4y = 10\) are:
- (0, 2.5)
- (2, 5)
If you have specific ordered pairs you would like checked, please provide them, and I can verify which ones satisfy the equation.