1. 2-2 Graphing on a Coordinate Plane Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day Lesson Quizzes Lesson Quizzes

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

3. 2-2 Graphing on a Coordinate Plane Problem of the Day What day is four days after the day before Saturday? Tuesday

4. 2-2 Graphing on a Coordinate Plane Learn to graph points and lines on the coordinate plane.

5. 2-2 Graphing on a Coordinate Plane Vocabulary coordinate plane x-axis y-axis quadrant x-coordinate y-coordinate origin

6. 2-2 Graphing on a Coordinate Plane 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. 2-2 Graphing on a Coordinate Plane 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. 2-2 Graphing on a Coordinate Plane (2, 3) ‏ The sign of a number indicates which direction to move. Positive: up or right Negative: down or left Helpful Hint x y origin (2, 3) ‏ move right 2 units move up 3 units (0, 0) ‏ Quadrant I Quadrant II Quadrant III Quadrant IV

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

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

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

12. 2-2 Graphing on a Coordinate Plane Check It Out: Example 2 Graph each point on the coordinate plane. E. E(2, 4) ‏ right 2, up 4 F. F(2, 0) ‏ right 2, up 0 G. G(–2, 4) ‏ left 2, up 4 H. H(–1, –1) ‏ left 1, down 1 x y E F H G

13. 2-2 Graphing on a Coordinate Plane Example 3: Finding Horizontal and Vertical Distances x y = |–6| Distance = |–2 – (4)| M(2, 6) ‏ Find the distance between each pair of points. A. K and L Use the x-coordinates. 0 2 4 6 8 10 2468 2 4 6 8 6428 L(4, –2) ‏ N(2, –6) ‏ K(–2, –2) ‏ = 6 The points are 6 units apart.

14. 2-2 Graphing on a Coordinate Plane The order of the points does not matter when you find the distance between them. Helpful Hint

15. 2-2 Graphing on a Coordinate Plane Example 3: Finding Horizontal and Vertical Distances x y = |12| Distance = |6 – (–6 )| M(2, 6) ‏ Find the distance between each pair of points. B. M and N Use the y-coordinates. 0 2 4 6 8 10 2468 2 4 6 8 6428 L(4, –2) ‏ N(2, –6) ‏ K(–2, –2) ‏ = 12 The points are 12 units apart.

16. 2-2 Graphing on a Coordinate Plane Check It Out x y = |–8| Distance = |–2 – (6)| B(6, 4) ‏ Find the distance between each pair of points. C. A and B Use the x-coordinates. 0 2 4 6 8 10 2468 2 4 6 8 6428 C(4, –2) ‏ D(4, –8) ‏ A(–2, 4) ‏ = 8 The points are 8 units apart.

17. 2-2 Graphing on a Coordinate Plane Check It Out x y = |6| Distance = |–2 – (–8)| B(6, 4) ‏ Find the distance between each pair of points. D. C and D Use the y-coordinates. 0 2 4 6 8 10 2468 2 4 6 8 6428 C(4, –2) ‏ D(4, –8) ‏ A(–2, 4) ‏ = 6 The points are 6 units apart.

18. 2-2 Graphing on a Coordinate Plane Lesson Quiz

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