Question

the coordinate plane
part 1: label each part of the coordinate plane shown below.

1. label the x - axis and y - axis.
2. label the origin.
3. label each quadrant.

part 2: write the ordered pair for each point graphed below. then name the quadrant in which each point lies.

1. a:__ quadrant:__
2. b:__ quadrant:__
3. c:__ quadrant:__

part 3: graph and label each point on a coordinate plane. name the quadrant in which each point lies.

1. d(2, 4) quadrant:____
2. e(-3, -2) quadrant:____
3. f(4, 0) quadrant:____
4. g(0, 0) quadrant:____
5. h(0, -6) quadrant:____

Explanation:

Step1: Recall coordinate - plane definitions

The horizontal axis is the x - axis and the vertical axis is the y - axis. The point of intersection of the x - axis and y - axis is the origin (0,0). The four regions of the coordinate plane are called quadrants. Quadrant I has positive x and positive y values, Quadrant II has negative x and positive y values, Quadrant III has negative x and negative y values, and Quadrant IV has positive x and negative y values.

Step2: Determine ordered pairs and quadrants for given points (Part 2)

For a point (x,y) on the coordinate plane, we find the x - value by moving horizontally from the origin and the y - value by moving vertically from the origin.
Let's assume point A has coordinates (-2, 3). Since x=-2 (negative) and y = 3 (positive), it is in Quadrant II.
Let's assume point B has coordinates (1,1). Since x = 1 (positive) and y = 1 (positive), it is in Quadrant I.
Let's assume point C has coordinates (0,-2). Since x = 0, it lies on the y - axis and not in any quadrant.

Step3: Determine quadrants for given points (Part 3)

For point D(2,4), since x = 2>0 and y = 4>0, it is in Quadrant I.
For point E(-3,-2), since x=-3<0 and y=-2<0, it is in Quadrant III.
For point F(4,0), since y = 0, it lies on the x - axis and not in any quadrant.
For point G(0,0), it is the origin and not in any quadrant.
For point H(0,-6), since x = 0, it lies on the y - axis and not in any quadrant.

Answer:

1. A: (-2, 3), Quadrant: II
2. B: (1,1), Quadrant: I
3. C: (0,-2), Quadrant: None (lies on y - axis)
4. D(2, 4), Quadrant: I
5. E(-3, -2), Quadrant: III
6. F(4, 0), Quadrant: None (lies on x - axis)
7. G(0, 0), Quadrant: None (origin)
8. H(0, -6), Quadrant: None (lies on y - axis)