Question
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In 5-7, graph and label each point on the coordinate plane. 5. \( A(-4,1) \)

Ask by Hills Bryant. in the United States
Dec 08,2024

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Answer

Plot \( A(-4, 1) \) by moving 4 units left and 1 unit up from the origin, and label it.

Solution

To graph the point \( A(-4, 1) \) on the coordinate plane, follow these steps: 1. **Locate the x-coordinate**: Start at the origin (0,0) and move 4 units to the left along the x-axis because the x-coordinate is -4. 2. **Locate the y-coordinate**: From that point, move up 1 unit along the y-axis because the y-coordinate is 1. 3. **Plot the point**: Mark the point where you end up after moving left and up. This is point \( A \). 4. **Label the point**: Write \( A(-4, 1) \) next to the point to indicate its coordinates. The graph will show point \( A \) in the second quadrant of the coordinate plane.

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The Deep Dive

To graph the point \( A(-4, 1) \), start at the origin (0, 0). Move 4 units left along the x-axis (since it's -4) and then move up 1 unit on the y-axis. Mark this point and label it as A. It's a cool way to see how coordinates work together, helping you visualize math on a plane! When graphing points, a common mistake is mixing up the x and y coordinates. Remember the format is always \( (x, y) \). Check your movements: left/right for the x-coordinate and up/down for the y-coordinate. This can be a real game changer for accuracy on your graph!

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