Plotting points on a coordinate plane worksheet for math practice.

Problem Description:

The task is to plot the given coordinate points on a Cartesian plane. The coordinates are provided as ordered pairs \((x, y)\), where \(x\) is the horizontal (left-right) position and \(y\) is the vertical (up-down) position. The points to be plotted are:

- A: \((-7, -4)\)
- B: \((-10, -9)\)
- P: \((-3, 7)\)
- Z: \((9, -5)\)
- X: \((6, 8)\)
- R: \((-9, -6)\)
- Q: \((-4, -4)\)
- Y: \((5, -8)\)
- W: \((4, 10)\)
- K: \((7, 4)\)
- D: \((3, 2)\)
- J: \((0, -3)\)

Solution Approach:

1. Understand the Coordinate System:
- The Cartesian plane has two axes: the \(x\)-axis (horizontal) and the \(y\)-axis (vertical).
- The point where the axes intersect is called the origin, with coordinates \((0, 0)\).
- Positive \(x\) values are to the right of the origin, and negative \(x\) values are to the left.
- Positive \(y\) values are above the origin, and negative \(y\) values are below.

2. Plot Each Point:
- For each ordered pair \((x, y)\):
- Start at the origin \((0, 0)\).
- Move horizontally by the \(x\)-value (right for positive, left for negative).
- Move vertically by the \(y\)-value (up for positive, down for negative).
- Mark the point at the final position.

3. Plotting the Points:
- A: \((-7, -4)\):
- Move 7 units left from the origin.
- Move 4 units down.
- Mark the point.

- B: \((-10, -9)\):
- Move 10 units left from the origin.
- Move 9 units down.
- Mark the point.

- P: \((-3, 7)\):
- Move 3 units left from the origin.
- Move 7 units up.
- Mark the point.

- Z: \((9, -5)\):
- Move 9 units right from the origin.
- Move 5 units down.
- Mark the point.

- X: \((6, 8)\):
- Move 6 units right from the origin.
- Move 8 units up.
- Mark the point.

- R: \((-9, -6)\):
- Move 9 units left from the origin.
- Move 6 units down.
- Mark the point.

- Q: \((-4, -4)\):
- Move 4 units left from the origin.
- Move 4 units down.
- Mark the point.

- Y: \((5, -8)\):
- Move 5 units right from the origin.
- Move 8 units down.
- Mark the point.

- W: \((4, 10)\):
- Move 4 units right from the origin.
- Move 10 units up.
- Mark the point.

- K: \((7, 4)\):
- Move 7 units right from the origin.
- Move 4 units up.
- Mark the point.

- D: \((3, 2)\):
- Move 3 units right from the origin.
- Move 2 units up.
- Mark the point.

- J: \((0, -3)\):
- Stay at the origin horizontally (since \(x = 0\)).
- Move 3 units down.
- Mark the point.

4. Final Plot:
- After plotting all the points, you should have marked each point on the grid corresponding to its coordinates.

Final Answer:

The points are plotted as follows (described in words):

- A: \((-7, -4)\) — 7 units left, 4 units down.
- B: \((-10, -9)\) — 10 units left, 9 units down.
- P: \((-3, 7)\) — 3 units left, 7 units up.
- Z: \((9, -5)\) — 9 units right, 5 units down.
- X: \((6, 8)\) — 6 units right, 8 units up.
- R: \((-9, -6)\) — 9 units left, 6 units down.
- Q: \((-4, -4)\) — 4 units left, 4 units down.
- Y: \((5, -8)\) — 5 units right, 8 units down.
- W: \((4, 10)\) — 4 units right, 10 units up.
- K: \((7, 4)\) — 7 units right, 4 units up.
- D: \((3, 2)\) — 3 units right, 2 units up.
- J: \((0, -3)\) — stay at origin horizontally, 3 units down.

\(\boxed{\text{Points plotted as described above.}}\)