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Locate and name each point. 4. \( (1,3) \) 5. \( (5,6) \) 6. \( (0,6) \)

Ask by Reid Cross. in the United States
Jan 23,2025

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Answer

- Point 4: \( (1, 3) \) is in the first quadrant. - Point 5: \( (5, 6) \) is in the first quadrant. - Point 6: \( (0, 6) \) is on the y-axis in the first quadrant.

Solution

To locate and name each point, we will identify their coordinates and describe their positions in the Cartesian coordinate system. 1. **Point 4: \( (1, 3) \)** - This point is located at \( x = 1 \) and \( y = 3 \). - It is in the first quadrant of the Cartesian plane, where both \( x \) and \( y \) are positive. 2. **Point 5: \( (5, 6) \)** - This point is located at \( x = 5 \) and \( y = 6 \). - It is also in the first quadrant, as both coordinates are positive. 3. **Point 6: \( (0, 6) \)** - This point is located at \( x = 0 \) and \( y = 6 \). - It lies on the y-axis, where \( x = 0 \) and \( y \) is positive, placing it in the first quadrant as well. In summary: - Point 4: \( (1, 3) \) - First Quadrant - Point 5: \( (5, 6) \) - First Quadrant - Point 6: \( (0, 6) \) - On the y-axis in the First Quadrant

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Mind Expander

Let’s dive into the fun world of coordinates! First up, we have the point \( (1,3) \), which is located one unit to the right of the origin (0,0) on the x-axis and three units up on the y-axis. It's like a little party of coordinates celebrating on the graph! Next, we have \( (5,6) \). This point struts confidently five units to the right and then climbs six units up. It’s like it's saying, "Look at me, I'm way up here!" Then there’s \( (0,6) \). This special point hangs out straight up six units on the y-axis, perfectly aligned with the origin. It’s the top of the y-axis hill, waving down at any road from the x-axis! Finding points on a graph is like treasure hunting—each coordinate unlocks a different gem!

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