To determine which ordered pairs represent points on the graph of the equation \( y = 4x - 4 \), we can substitute the x-values from the ordered pairs into the equation to see if the corresponding y-values match.
Here are a few examples of how to test ordered pairs:
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Let’s take the ordered pair (0, -4):
- Substitute \( x = 0 \) into the equation: \[ y = 4(0) - 4 = -4 \]
- The ordered pair (0, -4) is a point on the graph.
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Now, check the ordered pair (1, 0):
- Substitute \( x = 1 \): \[ y = 4(1) - 4 = 0 \]
- The ordered pair (1, 0) is also on the graph.
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Next, check the ordered pair (2, 4):
- Substitute \( x = 2 \): \[ y = 4(2) - 4 = 4 \]
- The ordered pair (2, 4) is on the graph.
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Let’s check (3, 8):
- Substitute \( x = 3 \): \[ y = 4(3) - 4 = 8 \]
- The ordered pair (3, 8) is also on the graph.
You can use this method for any ordered pairs you have—just plug in the \( x \)-value into the equation and see if you get the corresponding \( y \)-value.
If you have specific ordered pairs to check, please provide them, and I can calculate to see if they lie on the graph of the given equation \( y = 4x - 4 \).