Question

plot the points (0, -3), (3, 0), (-2, 1), (5, -3).

Explanation:

Step1: Plot (0, -3)

The x - coordinate is 0, so we are on the y - axis. The y - coordinate is - 3, so we move 3 units down from the origin (0,0) on the y - axis and mark the point.

Step2: Plot (3, 0)

The y - coordinate is 0, so we are on the x - axis. The x - coordinate is 3, so we move 3 units to the right from the origin (0,0) on the x - axis and mark the point.

Step3: Plot (-2, 1)

The x - coordinate is - 2, so we move 2 units to the left from the origin (0,0) on the x - axis. The y - coordinate is 1, so we move 1 unit up from the x - axis (at x=-2) and mark the point.

Step4: Plot (5, -3)

The x - coordinate is 5, so we move 5 units to the right from the origin (0,0) on the x - axis. The y - coordinate is - 3, so we move 3 units down from the x - axis (at x = 5) and mark the point.

(Note: Since this is a plotting task, the final answer is the set of points plotted on the coordinate plane as described in the steps above. If we were to describe the positions: (0, - 3) is on the y - axis, 3 units below the origin; (3, 0) is on the x - axis, 3 units to the right of the origin; (-2, 1) is 2 units left on the x - axis and 1 unit up on the y - axis; (5, - 3) is 5 units right on the x - axis and 3 units down on the y - axis.)

Answer:

The points are plotted as follows:

• \((0, -3)\): On the \(y\) - axis, 3 units below the origin.
• \((3, 0)\): On the \(x\) - axis, 3 units to the right of the origin.
• \((-2, 1)\): 2 units left on the \(x\) - axis, 1 unit up on the \(y\) - axis.
• \((5, -3)\): 5 units right on the \(x\) - axis, 3 units down on the \(y\) - axis.