2 2 Graphing on a Coordinate Plane Warm

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

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

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

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

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

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.

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.

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

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

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

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

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

2 -2 Graphing on a Coordinate Plane Additional Example 3 A: Finding Horizontal and Vertical Distances Find the distance between each pair of points. y A. K and L Use the x-coordinates. Distance = |– 2 – (4)| = |– 6| =6 The points are 6 units apart. 10 8 6 4 20 2 K(– 2, – 2)4 6 8 M(2, 6) x 2 4 6 8 L(4, – 2) N(2, – 6)

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

2 -2 Graphing on a Coordinate Plane Additional Example 3 B: Finding Horizontal and Vertical Distances Find the distance between each pair of points. y A. M and N Use the y-coordinates. Distance = |6 – (– 6 )| = |12| = 12 The points are 12 units apart. 10 8 6 4 20 2 K(– 2, – 2)4 6 8 M(2, 6) x 2 4 6 8 L(4, – 2) N(2, – 6)

2 -2 Graphing on a Coordinate Plane Check It Out: Additional Example 3 A Find the distance between each pair of points. y A. A and B Use the x-coordinates. Distance = |– 2 – (6)| = |– 8| =8 The points are 8 units apart. A(– 2, 10 8 4) 6 4 2 8 6 4 20 2 4 6 8 B(6, 4) x 2 4 6 8 C(4, – 2) D(4, – 8)

2 -2 Graphing on a Coordinate Plane Check It Out: Additional Example 3 B Find the distance between each pair of points. y B. C and D Use the y-coordinates. Distance = |– 2 – (– 8)| = |6| =6 The points are 6 units apart. A(– 2, 10 8 4) 6 4 2 8 6 4 20 2 4 6 8 B(6, 4) x 2 4 6 8 C(4, – 2) D(4, – 8)

2 -2 Graphing on a Coordinate Plane Lesson Quizzes Standard Lesson Quiz for Student Response Systems

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

2 -2 Graphing on a Coordinate Plane Lesson Quiz: Part II Find the distance between each pair of points on the graph above. 5. A and B 14 units 6. C and D 12 units y C 8 M x 0 – 8 A 8 B D – 8 L

2 -2 Graphing on a Coordinate Plane Lesson Quiz for Student Response Systems 1. Identify the coordinates and quadrant of point A. (0, 3); none C. (3, 0); II B. (3, 0); I D. (0, 3); II

2 -2 Graphing on a Coordinate Plane 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

2 -2 Graphing on a Coordinate Plane Lesson Quiz for Student Response Systems 3. Identify the graph of the point A(4, – 3). A. C. B. D.

2 -2 Graphing on a Coordinate Plane Lesson Quiz for Student Response Systems 4. Identify the graph of the point G(2, 0). A. C. B. D.

2 -2 Graphing on a Coordinate Plane Lesson Quiz for Student Response Systems 5. Identify the table for y = 3 x – 4 and the graph of each ordered pair. A. B.