Plotting points on a coordinate plane worksheet for math practice.
Worksheet titled "Plotting Points on a Coordinate Plane" with a grid and listed coordinate points to plot.
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Show Answer Key & Explanations
Step-by-step solution for: Coordinate Plane Worksheets - Math Monks
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Show Answer Key & Explanations
Step-by-step solution for: Coordinate Plane Worksheets - Math Monks
Let's solve the problem step by step.
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Plot the following coordinate points on the given coordinate plane:
a) A(-7, -4)
b) B(-10, -9)
c) P(-3, 7)
d) Z(9, -5)
e) X(6, 8)
f) R(-9, -6)
g) Q(-4, -4)
h) Y(5, -8)
i) W(4, 10)
j) K(7, 4)
k) D(3, 2)
l) J(0, -3)
---
Each point is written as (x, y), where:
- x is the horizontal coordinate (left/right)
- y is the vertical coordinate (up/down)
To plot a point:
1. Start at the origin (0, 0).
2. Move x units left (if negative) or right (if positive) along the x-axis.
3. Then move y units down (if negative) or up (if positive) along the y-axis.
4. Mark the point.
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We'll go through each point and describe how to locate it.
#### a) A(-7, -4)
- Move 7 units left from origin.
- Then 4 units down.
- Located in Quadrant III.
#### b) B(-10, -9)
- Move 10 units left.
- Then 9 units down.
- Also in Quadrant III.
#### c) P(-3, 7)
- Move 3 units left.
- Then 7 units up.
- In Quadrant II.
#### d) Z(9, -5)
- Move 9 units right.
- Then 5 units down.
- In Quadrant IV.
#### e) X(6, 8)
- Move 6 units right.
- Then 8 units up.
- In Quadrant I.
#### f) R(-9, -6)
- Move 9 units left.
- Then 6 units down.
- In Quadrant III.
#### g) Q(-4, -4)
- Move 4 units left.
- Then 4 units down.
- In Quadrant III.
#### h) Y(5, -8)
- Move 5 units right.
- Then 8 units down.
- In Quadrant IV.
#### i) W(4, 10)
- Move 4 units right.
- Then 10 units up.
- In Quadrant I.
#### j) K(7, 4)
- Move 7 units right.
- Then 4 units up.
- In Quadrant I.
#### k) D(3, 2)
- Move 3 units right.
- Then 2 units up.
- In Quadrant I.
#### l) J(0, -3)
- x = 0 → stay on the y-axis.
- Move 3 units down.
- Lies on the negative y-axis.
---
You should now plot all these points on the grid provided.
Here’s a summary of where each point goes:
| Point | Coordinates | Location |
|-------|-------------|----------|
| A | (-7, -4) | QIII |
| B | (-10, -9) | QIII |
| P | (-3, 7) | QII |
| Z | (9, -5) | QIV |
| X | (6, 8) | QI |
| R | (-9, -6) | QIII |
| Q | (-4, -4) | QIII |
| Y | (5, -8) | QIV |
| W | (4, 10) | QI |
| K | (7, 4) | QI |
| D | (3, 2) | QI |
| J | (0, -3) | On y-axis (below origin) |
---
1. Use a pencil to mark each point clearly.
2. Label each point with its letter (A, B, etc.).
3. Make sure your points are accurately placed based on the grid lines.
> Example: For A(-7, -4), find the vertical line at x = -7 and the horizontal line at y = -4; their intersection is point A.
---
- Double-check signs: Negative x = left, negative y = down.
- The origin (0,0) is center of the graph.
- Points like J(0, -3) lie directly on the axis — no horizontal movement.
Once you’ve plotted all points, you can check if they match the expected locations above.
✔ All points plotted correctly will complete the task!
Let me know if you'd like a visual representation or help checking your work.
---
Task:
Plot the following coordinate points on the given coordinate plane:
a) A(-7, -4)
b) B(-10, -9)
c) P(-3, 7)
d) Z(9, -5)
e) X(6, 8)
f) R(-9, -6)
g) Q(-4, -4)
h) Y(5, -8)
i) W(4, 10)
j) K(7, 4)
k) D(3, 2)
l) J(0, -3)
---
How to Plot Points on a Coordinate Plane
Each point is written as (x, y), where:
- x is the horizontal coordinate (left/right)
- y is the vertical coordinate (up/down)
To plot a point:
1. Start at the origin (0, 0).
2. Move x units left (if negative) or right (if positive) along the x-axis.
3. Then move y units down (if negative) or up (if positive) along the y-axis.
4. Mark the point.
---
Step-by-Step Plotting Guide
We'll go through each point and describe how to locate it.
#### a) A(-7, -4)
- Move 7 units left from origin.
- Then 4 units down.
- Located in Quadrant III.
#### b) B(-10, -9)
- Move 10 units left.
- Then 9 units down.
- Also in Quadrant III.
#### c) P(-3, 7)
- Move 3 units left.
- Then 7 units up.
- In Quadrant II.
#### d) Z(9, -5)
- Move 9 units right.
- Then 5 units down.
- In Quadrant IV.
#### e) X(6, 8)
- Move 6 units right.
- Then 8 units up.
- In Quadrant I.
#### f) R(-9, -6)
- Move 9 units left.
- Then 6 units down.
- In Quadrant III.
#### g) Q(-4, -4)
- Move 4 units left.
- Then 4 units down.
- In Quadrant III.
#### h) Y(5, -8)
- Move 5 units right.
- Then 8 units down.
- In Quadrant IV.
#### i) W(4, 10)
- Move 4 units right.
- Then 10 units up.
- In Quadrant I.
#### j) K(7, 4)
- Move 7 units right.
- Then 4 units up.
- In Quadrant I.
#### k) D(3, 2)
- Move 3 units right.
- Then 2 units up.
- In Quadrant I.
#### l) J(0, -3)
- x = 0 → stay on the y-axis.
- Move 3 units down.
- Lies on the negative y-axis.
---
Final Answer:
You should now plot all these points on the grid provided.
Here’s a summary of where each point goes:
| Point | Coordinates | Location |
|-------|-------------|----------|
| A | (-7, -4) | QIII |
| B | (-10, -9) | QIII |
| P | (-3, 7) | QII |
| Z | (9, -5) | QIV |
| X | (6, 8) | QI |
| R | (-9, -6) | QIII |
| Q | (-4, -4) | QIII |
| Y | (5, -8) | QIV |
| W | (4, 10) | QI |
| K | (7, 4) | QI |
| D | (3, 2) | QI |
| J | (0, -3) | On y-axis (below origin) |
---
✔ Instructions for You (Student):
1. Use a pencil to mark each point clearly.
2. Label each point with its letter (A, B, etc.).
3. Make sure your points are accurately placed based on the grid lines.
> Example: For A(-7, -4), find the vertical line at x = -7 and the horizontal line at y = -4; their intersection is point A.
---
📌 Tips:
- Double-check signs: Negative x = left, negative y = down.
- The origin (0,0) is center of the graph.
- Points like J(0, -3) lie directly on the axis — no horizontal movement.
Once you’ve plotted all points, you can check if they match the expected locations above.
✔ All points plotted correctly will complete the task!
Let me know if you'd like a visual representation or help checking your work.
Parent Tip: Review the logic above to help your child master the concept of coordinate geometry worksheet answers.