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Pre-Algebra 1-8 Graphing on the Coordinate Plane Pre-Algebra 1-8 Graphing on the Coordinate Plane Pre-Algebra: 1-8 HW Page 40 #13-24 all
Pre-Algebra 1-8 Graphing on the Coordinate Plane 1-8 Graphing on the Coordinate Plane Pre-Algebra Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation
Pre-Algebra 1-8 Graphing on the 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 Pre-Algebra 1-8 Graphing on the Coordinate Plane 3. y = 5x 5 2. y = 4x y = 2x 3
Pre-Algebra 1-8 Graphing on the Coordinate Plane Problem of the Day Start at (0, 0). Walk 3 blocks west and 2 blocks north. Then walk 4 blocks south and 1 block east. What are your coordinates? (–2, –2)
Pre-Algebra 1-8 Graphing on the Coordinate Plane Today’s Learning Goal Learn to graph points and lines on the coordinate plane.
Pre-Algebra 1-8 Graphing on the Coordinate Plane Vocabulary coordinate plane x-axis y-axis x-coordinate y-coordinate origin graph of an equation
Pre-Algebra 1-8 Graphing on the Coordinate Plane The coordinate plane is like a map formed by two number lines, the x-axis and the y-axis, that intersect at right angles. Ordered pairs are the locations, or points, on the map. The x-coordinate and y-coordinate of an ordered pair tell the direction and number of units to move. (x, y) x-coordinate move right or left y-coordinate move up or down
Pre-Algebra 1-8 Graphing on the Coordinate Plane To plot an ordered pair, begin at the origin, the point (0, 0), which is the intersection of the x-axis and the y-axis. The first coordinate tells how many units to move left or right; the second coordinate tells how many units to move up or down.
Pre-Algebra 1-8 Graphing on the 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)
Pre-Algebra 1-8 Graphing on the Coordinate Plane Additional Example 1: Finding the Coordinates of Points on a Plane Give the coordinates of each point. Point R is _______. (1, 3) 1 unit right, 3 units up Point S is _______. (0, –4) 0 units right, 4 units down Point T is _______. (–2, 2) 2 units left, 2 units up Point U is _______. (–3, 0) 3 units left, 0 units up x y R S T U
Pre-Algebra 1-8 Graphing on the Coordinate Plane Try This: Example 1 Give the coordinates of each point. Point J is _______. (0, 2) 0 units right, 2 units up Point M is _______. (2, 0) 2 units right, 0 units up Point K is _______. (–1, 4) 1 unit left, 4 units up Point P is _______. (–3, –2) 3 units left, 2 units down x y J P K M
Pre-Algebra 1-8 Graphing on the Coordinate Plane Additional Example 2: Graphing Points on a Coordinate Plane Graph each point on the coordinate plane. Label the points A-D. A. (3, 4) right 3, up 4 B. (4, 0) right 4, up 0 C. (–4, 4) left 4, up 4 D. (–1, –3) left 1, down 3 x y A B D C
Pre-Algebra 1-8 Graphing on the Coordinate Plane Try This: Example 2 Graph each point on the coordinate plane. Label the points A-D. A. (2, 4) right 2, up 4 B. (2, 0) right 2, up 0 C. (–2, 4) left 2, up 4 D. (–1, –1) left 1, down 1 x y A B D C
Pre-Algebra 1-8 Graphing on the Coordinate Plane The graph of an equation is the set of all ordered pairs that are solutions of the equation.
Pre-Algebra 1-8 Graphing on the Coordinate Plane Additional Example 3A: Graphing an Equation Complete the table of ordered pairs. Graph the equation on a coordinate plane. x y A. y = 3x x 3x y (x, y) (0) 0(0, 0) 3(1)3(1, 3) 3(2)6(2, 6) 3(3)9(3, 9)
Pre-Algebra 1-8 Graphing on the Coordinate Plane Additional Example 3B: Graphing an Equation Complete the table of ordered pairs. Graph the equation on a coordinate plane. x y B. y = 2x – 3 x 2x – 3 y (x, y) (0) – 3 –3(0, –3) 2(1) – 3–1(1, –1) 2(2) – 31(2, 1) 2(3) – 33(3, 3)
Pre-Algebra 1-8 Graphing on the Coordinate Plane Try This: Example 3A Complete the table of ordered pairs. Graph the equation on a coordinate plane. x y A. y = 2x x 2x y (x, y) (0) 0(0, 0) 2(1)2(1, 2) 2(2)4(2, 4) 2(3)6(3, 6)
Pre-Algebra 1-8 Graphing on the Coordinate Plane Try This: Example 3B Complete each table of ordered pairs. Graph each equation on a coordinate plane. x y B. y = 3x – 4 x 3x – 4 y (x, y) (0) – 4 –4(0, –4) 3(1) – 4–1(1, –1) 3(2) – 42(2, 2) 3(3) – 45(3, 5)
Pre-Algebra 1-8 Graphing on the Coordinate Plane Lesson Quiz: Part 1 Give the coordinates of each point. 1. A 2. B Graph each point on the given coordinate plane. Label points C, D. 3. C (5, –2) 4. D (0, 4) (3, 4) (2, 0) x y A B D C
Pre-Algebra 1-8 Graphing on the Coordinate Plane Lesson Quiz: Part 2 Complete the table. Graph the equation on the given coordinate plane. 5. y = 4x – 3 x y (0, 3) (1, 1) (2, 5) x4x – 3y(x, y) (0) 3 4(1) 3 4(2) 3 33 1 5 (0, 3) (1, 1) (2, 5)