Graph and Plot Coordinates Worksheets - Free Printable
Educational worksheet: Graph and Plot Coordinates Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Graph and Plot Coordinates Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Graph and Plot Coordinates Worksheets
To solve the problem of graphing and plotting the coordinates, we need to follow these steps for each set of points provided in the image. Let's go through each part systematically.
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We are given sets of coordinates (points) on a Cartesian plane. Each point is represented as an ordered pair \((x, y)\), where:
- \(x\) is the horizontal coordinate (distance along the x-axis).
- \(y\) is the vertical coordinate (distance along the y-axis).
Our task is to plot these points on the respective grids provided in the image.
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#### Part 1:
- A = (4, -3): Move 4 units to the right from the origin (0, 0) and then 3 units down.
- B = (4, -1): Move 4 units to the right from the origin and then 1 unit down.
- C = (2, 5): Move 2 units to the right from the origin and then 5 units up.
- D = (2, 3): Move 2 units to the right from the origin and then 3 units up.
#### Part 2:
- A = (4, 3): Move 4 units to the right from the origin and then 3 units up.
- B = (6, 2): Move 6 units to the right from the origin and then 2 units up.
- C = (-2, -6): Move 2 units to the left from the origin and then 6 units down.
- D = (3, -7): Move 3 units to the right from the origin and then 7 units down.
#### Part 3:
- A = (-2, -3): Move 2 units to the left from the origin and then 3 units down.
- B = (-2, -5): Move 2 units to the left from the origin and then 5 units down.
- C = (6, 7): Move 6 units to the right from the origin and then 7 units up.
- D = (4, -6): Move 4 units to the right from the origin and then 6 units down.
#### Part 4:
- A = (4, 7): Move 4 units to the right from the origin and then 7 units up.
- B = (-3, -7): Move 3 units to the left from the origin and then 7 units down.
- C = (2, 3): Move 2 units to the right from the origin and then 3 units up.
- D = (1, -3): Move 1 unit to the right from the origin and then 3 units down.
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1. Identify the Axes: Each grid has an x-axis (horizontal) and a y-axis (vertical). The intersection of these axes is the origin \((0, 0)\).
2. Move Horizontally: For the \(x\)-coordinate, move right if positive or left if negative.
3. Move Vertically: For the \(y\)-coordinate, move up if positive or down if negative.
4. Mark the Point: Place a dot at the final position.
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The solution involves physically plotting the points on the grids. Since I cannot draw the graphs here, I will summarize the steps for each point:
#### Part 1:
- A: (4, -3)
- B: (4, -1)
- C: (2, 5)
- D: (2, 3)
#### Part 2:
- A: (4, 3)
- B: (6, 2)
- C: (-2, -6)
- D: (3, -7)
#### Part 3:
- A: (-2, -3)
- B: (-2, -5)
- C: (6, 7)
- D: (4, -6)
#### Part 4:
- A: (4, 7)
- B: (-3, -7)
- C: (2, 3)
- D: (1, -3)
By following the steps above, you can accurately plot each point on the respective grids.
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\[
\boxed{\text{Plot each point as described above on the corresponding grids.}}
\]
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Step 1: Understand the Task
We are given sets of coordinates (points) on a Cartesian plane. Each point is represented as an ordered pair \((x, y)\), where:
- \(x\) is the horizontal coordinate (distance along the x-axis).
- \(y\) is the vertical coordinate (distance along the y-axis).
Our task is to plot these points on the respective grids provided in the image.
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Step 2: Plotting Points
#### Part 1:
- A = (4, -3): Move 4 units to the right from the origin (0, 0) and then 3 units down.
- B = (4, -1): Move 4 units to the right from the origin and then 1 unit down.
- C = (2, 5): Move 2 units to the right from the origin and then 5 units up.
- D = (2, 3): Move 2 units to the right from the origin and then 3 units up.
#### Part 2:
- A = (4, 3): Move 4 units to the right from the origin and then 3 units up.
- B = (6, 2): Move 6 units to the right from the origin and then 2 units up.
- C = (-2, -6): Move 2 units to the left from the origin and then 6 units down.
- D = (3, -7): Move 3 units to the right from the origin and then 7 units down.
#### Part 3:
- A = (-2, -3): Move 2 units to the left from the origin and then 3 units down.
- B = (-2, -5): Move 2 units to the left from the origin and then 5 units down.
- C = (6, 7): Move 6 units to the right from the origin and then 7 units up.
- D = (4, -6): Move 4 units to the right from the origin and then 6 units down.
#### Part 4:
- A = (4, 7): Move 4 units to the right from the origin and then 7 units up.
- B = (-3, -7): Move 3 units to the left from the origin and then 7 units down.
- C = (2, 3): Move 2 units to the right from the origin and then 3 units up.
- D = (1, -3): Move 1 unit to the right from the origin and then 3 units down.
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Step 3: Explanation of Plotting
1. Identify the Axes: Each grid has an x-axis (horizontal) and a y-axis (vertical). The intersection of these axes is the origin \((0, 0)\).
2. Move Horizontally: For the \(x\)-coordinate, move right if positive or left if negative.
3. Move Vertically: For the \(y\)-coordinate, move up if positive or down if negative.
4. Mark the Point: Place a dot at the final position.
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Step 4: Final Answer
The solution involves physically plotting the points on the grids. Since I cannot draw the graphs here, I will summarize the steps for each point:
#### Part 1:
- A: (4, -3)
- B: (4, -1)
- C: (2, 5)
- D: (2, 3)
#### Part 2:
- A: (4, 3)
- B: (6, 2)
- C: (-2, -6)
- D: (3, -7)
#### Part 3:
- A: (-2, -3)
- B: (-2, -5)
- C: (6, 7)
- D: (4, -6)
#### Part 4:
- A: (4, 7)
- B: (-3, -7)
- C: (2, 3)
- D: (1, -3)
By following the steps above, you can accurately plot each point on the respective grids.
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Final Answer:
\[
\boxed{\text{Plot each point as described above on the corresponding grids.}}
\]
Parent Tip: Review the logic above to help your child master the concept of plotting coordinates worksheet.