Question

plot the points (0, 5), (4, 0), (-5, 3), (3, -2).

Explanation:

Step1: Plot (0,5)

The x - coordinate is 0, so we stay on the y - axis. The y - coordinate is 5, so we move 5 units up from the origin (0,0) along the y - axis and mark the point.

Step2: Plot (4,0)

The y - coordinate is 0, so we stay on the x - axis. The x - coordinate is 4, so we move 4 units to the right from the origin along the x - axis and mark the point.

Step3: Plot (-5,3)

The x - coordinate is - 5, so we move 5 units to the left from the origin along the x - axis. The y - coordinate is 3, so we move 3 units up from that x - position (x=-5) and mark the point.

Step4: Plot (3,-2)

The x - coordinate is 3, so we move 3 units to the right from the origin along the x - axis. The y - coordinate is - 2, so we move 2 units down from that x - position (x = 3) 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 per the above steps. The visual representation of the plotted points on the given grid is the result. If we were to describe the positions: (0,5) is on the y - axis, 5 units up; (4,0) is on the x - axis, 4 units right; (-5,3) is 5 units left on x - axis and 3 units up; (3,-2) is 3 units right on x - axis and 2 units down.)

Answer:

The points \((0,5)\), \((4,0)\), \((-5,3)\), \((3,-2)\) are plotted on the coordinate grid as described in the steps (with \((0,5)\) on the y - axis at \(y = 5\), \((4,0)\) on the x - axis at \(x=4\), \((-5,3)\) in the second quadrant, and \((3,-2)\) in the fourth quadrant).