1. Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes

2. Warm Up
Find the values for y by substituting 1, 3, 5, and 7 for x.
1. y = 2x – 3
1, 3, 7, 11
2. y = 4x + 1
5, 13, 21, 29
3. y = 5x – 5
0, 10, 20, 30

3. What day is four days after the day before Saturday?
Problem of the Day
What day is four days after the day before Saturday?
Tuesday

4. Learn to graph points and lines on the coordinate plane.

5. Vocabulary coordinate plane x-axis y-axis quadrant x-coordinate
origin

6. The coordinate plane is formed by two number lines, the x-axis and the y-axis. They intersect at right angles and divide the plane into four quadrants.
The x-coordinate is the first number in an ordered pair. The y-coordinate is the second number in an ordered pair.

7. To plot an ordered pair, begin at the origin, the point (0, 0)
To plot an ordered pair, begin at the origin, the point (0, 0). It is the intersection of the x-axis and the y-axis.
The x-coordinate tells how many units to move left or right; the y-coordinate tells how many units to move up or down.

8. (2, 3)‏ (2, 3)‏ move right 2 units move up 3 units (0, 0)‏ originx y
Quadrant II
Quadrant I
(2, 3)‏
move right units
(2, 3)‏
move up 3 units
(0, 0)‏
origin
Quadrant III
Quadrant IV
The sign of a number indicates which direction to move.
Positive: up or right
Negative: down or left
Helpful Hint

9. Give the coordinates and quadrants of each point.
Additional Example 1: Finding the Coordinates and Quadrants of Points on a Plane
Give the coordinates and quadrants of each point. x y
(1, 3); Quadrant l
Point R is ________________
1 unit right, 3 units up R T
(0, –3); no quadrant
Point S is _________________
0 units right, 3 units down
(–2, 2); Quadrant ll U
Point T is _________________
2 units left, 2 units up S
(–3, 0); no quadrant
Point U is ________________
3 units left, 0 units up

10. Give the coordinates and quadrants of each point.
Check It Out: Example 1
Give the coordinates and quadrants of each point. x y
(0, 2); no quadrant
Point J is __________________ K
0 units right, 2 units up J
(2, 0); no quadrant
Point M is _________________
2 units right, 0 units up M
(–1, 4); Quadrant ll
Point K is __________________ P
1 unit left, 4 units up
(–3, –2); Quadrant lll
Point P is _________________
3 units left, 2 units down

11. Additional Example 2: Graphing Points on a Coordinate Plane
Graph each point on the coordinate plane. x y C A
A. A(3, 4)‏
B. B(4, 0)‏
right 3, up 4
right 4, up 0
C. C(–4, 4)‏
D. D(–1, –3)‏ B
left 4, up 4
left 1, down 3 D

12. Graph each point on the coordinate plane.
Check It Out: Example 2
Graph each point on the coordinate plane. x y C A
A. A(2, 4)‏
B. B(2, 0)‏
right 2, up 4
right 2, up 0
C. C(–2, 4)‏
D. D(–1, –1)‏ D B
left 2, up 4
left 1, down 1

13. Additional Example 3A: Finding Horizontal and Vertical Distances
Find the distance between each pair of points.
A. K and L y
Use the x-coordinates. 10 8
M(2, 6)‏
Distance = |–2 – (4)| 6 4
= |–6| 2 x 8 6 4 2 2 4 6 8
= 6 2
L(4, –2)‏
K(–2, –2)‏ 4
The points are 6 units apart. 6
N(2, –6)‏ 8

14. The order of the points does not matter when you find the distance between them.
Helpful Hint

15. Additional Example 3B: Finding Horizontal and Vertical Distances
Find the distance between each pair of points.
A. M and N y
Use the y-coordinates. 10 8
M(2, 6)‏
Distance = |6 – (–6 )| 6 4
= |12| 2 x 8 6 4 2 2 4 6 8
= 12 2
L(4, –2)‏
K(–2, –2)‏ 4
The points are 12 units apart. 6
N(2, –6)‏ 8

16. Check It Out: Additional Example 3A
Find the distance between each pair of points.
A. A and B y
Use the x-coordinates. 10 8
Distance = |–2 – (6)|
A(–2, 4)‏ 6
B(6, 4)‏ 4
= |–8| 2 x 8 6 4 2 2 4 6 8
= 8 2
C(4, –2)‏ 4
The points are 8 units apart. 6 8
D(4, –8)‏

17. Check It Out: Additional Example 3B
Find the distance between each pair of points.
B. C and D y
Use the y-coordinates. 10 8
Distance = |–2 – (–8)|
A(–2, 4)‏ 6
B(6, 4)‏ 4
= |6| 2 x 8 6 4 2 2 4 6 8
= 6 2
C(4, –2)‏ 4
The points are 6 units apart. 6 8
D(4, –8)‏

18. Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems

19. Give the coordinates and quadrant of each point. 1. A 2. C
Lesson Quiz: Part I
Give the coordinates and quadrant of each point.
1. A
2. C y
(–8,–4), lll 10
(–4, 6), ll M 8 C
Graph each point on a coordinate plane.
3. L(6, –8)
4. M(0, 8)‏ x –8 8 A B D –8 L

20. Find the distance between each pair of points on the graph above.
Lesson Quiz: Part II
Find the distance between each pair of points on the graph above.
5. A and B
6. C and D
14 units y
12 units M 8 C x –8 8 A B D –8 L

21. Lesson Quiz for Student Response Systems
Identify the coordinates and quadrant of point A.
A. (0, 3); none C. (3, 0); II
B. (3, 0); I D. (0, 3); II

22. Lesson Quiz for Student Response Systems
2. Identify the coordinates and quadrant of point B.
A. (3, –4); none C. (–4, 3); II
B. (3, –4); I D. (–4, 3); IV

23. Lesson Quiz for Student Response Systems
3. Identify the graph of the point A(4, –3). C. D.

24. Lesson Quiz for Student Response Systems
4. Identify the graph of the point G(2, 0). C. D.

25. Lesson Quiz for Student Response Systems
Identify the table for y = 3x – 4 and the graph of each ordered pair. B.