Coordinate Plane Worksheets - Math Monks - Free Printable

Problem Description:

The task is to plot the given coordinate points on a Cartesian coordinate plane. The points are provided as ordered pairs \((x, y)\), where \(x\) is the horizontal coordinate and \(y\) is the vertical coordinate. 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 \(x\)-coordinate (right for positive, left for negative).
- Move vertically by the \(y\)-coordinate (up for positive, down for negative).
- Mark the point at the final position.

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

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

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

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

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

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

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

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

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

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

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

- 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 12 marked points on the coordinate plane corresponding to the given coordinates.

Final Answer:

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

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

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