1. Learn to locate and graph points on the coordinate plane.1

2. Vocabulary coordinate plane axes x-axis y-axis quadrants origin
coordinates
x-coordinate
y-coordinate 2

3. The two number lines are called the axes.
A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line.
The two number lines are called the axes. 3

4. The horizontal axis is called the x-axis.
A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line.
The horizontal axis is called the x-axis. 4

5. The vertical axis is called the y-axis.
A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line.
The vertical axis is called the y-axis. 5

6. The two axes divide the coordinate plane into four quadrants.
A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line.
The two axes divide the coordinate plane into four quadrants. 6

7. The point where the axes intersect is called the origin.
A coordinate plane is formed by two number lines in a plane that intersect at right angles. The point of intersection is the zero on each number line.
The point where the axes intersect is called the origin. 7

8. Additional Example 1: Identifying Quadrants
Name the quadrant where each point is located.
A. X
B. Y
C. S
Quadrant IV
Quadrant III
Quadrant II 8

9. Name the quadrant where each point is located.
Check It Out: Example 1
Name the quadrant where each point is located.
A. V
B. Z
C. T
Quadrant I
y-axis
no quadrant
Quadrant IV
Helpful Hint
Points on the axes are not in any quadrant. 9

10. The ordered pair for the origin is (0,0).
An ordered pair gives the location of a point on a coordinate plane. The first number tells how far to move right (positive) or left (negative) from the origin. The second number tells how far to move up (positive) or down (negative).
The numbers in an ordered pair are called coordinates. The first number is called the x-coordinate. The second number is called the y-coordinate.
The ordered pair for the origin is (0,0). 10

11. Additional Example 2A: Locating Points on a Coordinate Plane
Give the coordinates of each point. X
From the origin, X is 4 units right and 1 unit down.
(4, –1)‏ 11

12. Additional Example 2B: Locating Points on a Coordinate Plane
Give the coordinates of each point. Y
From the origin, Y is 2 units left, and 3 units down.
(–2, –3)‏ 12

13. Additional Example 2C: Locating Points on a Coordinate Plane
Give the coordinates of each point. S
From the origin, S is 3 units left, and 3 units up.
(–3, 3)‏ 13

14. Give the coordinates of each point. V
Check It Out: Example 2A
Give the coordinates of each point. V
From the origin, V is 4 units right and 2 units up.
(4, 2)‏ 14

15. Give the coordinates of each point. Z
Check It Out: Example 2B
Give the coordinates of each point. Z
From the origin, Z is 0 units right, and 4 units up.
(0, 4)‏ 15

16. Give the coordinates of each point. T
Check It Out: Example 2C
Give the coordinates of each point. T
From the origin, T is 1 unit right, and 3 units down.
(1, –3)‏ 16

17. Additional Example 3: Graphing Points on a Coordinate Plane
Graph each point on a coordinate plane.
A. V(4, 2)‏
B. W(–3, 1)‏ x y 4
From the origin, move 4 units right, and 2 units up. V W 2
– –
From the origin, move 3 units left, and 1 unit up. –2 –4 17

18. Additional Example 3: Graphing Points on a Coordinate Plane
Graph each point on a coordinate plane.
C. Z(0, 4)‏
D. T(1, –3)‏ x y 4
From the origin, move 4 units down. 2
– –
From the origin, move 1 unit right, and 3 units down. –2 T –4 Z 18

19. Graph each point on a coordinate plane. A. L(3, 4)‏
Check It Out: Example 3
Graph each point on a coordinate plane.
A. L(3, 4)‏
B. M(–3, –3)‏ x y L
From the origin, move 3 units right, and 4 units up. 4 2
– –
From the origin, move 3 units left, and 3 units down. –2 M –4 19

20. Graph each point on a coordinate plane. C. P(1, –2)‏
Check It Out: Example 3C
Graph each point on a coordinate plane.
C. P(1, –2)‏
D. G(–4, –2)‏ x y
From the origin, move 1 unit right and 2 units down. 4 2
– –
From the origin, move 4 units left, and 2 units down. –2 G P –4 20