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Section 2.1 Graphs  Points & Ordered Pairs (x,y)  Quadrants I II III IV  Solutions to Equations x-intercepts  Nonlinear Equations 12.1.

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Presentation on theme: "Section 2.1 Graphs  Points & Ordered Pairs (x,y)  Quadrants I II III IV  Solutions to Equations x-intercepts  Nonlinear Equations 12.1."— Presentation transcript:

1 Section 2.1 Graphs  Points & Ordered Pairs (x,y)  Quadrants I II III IV  Solutions to Equations x-intercepts  Nonlinear Equations 12.1

2 Points and Ordered Pairs 22.1

3 Plotting Points aka Graphing Points (, ) x-value, y-value – + +–+– 32.1

4 Find the Coordinates of these Points A: (-5,1) B: (-3,2) C: (0,4) D: (3,3) E: (1,0) F: (0,-3) G: (-5,-4) 42.1

5 Quadrants and Coordinate Signs 52.1

6 Solutions to Equations Any point on a graphed equation is a Solution Why is (5,5) Why is (-3,3) Why is (-2,-1) a solution? a solution? a solution? 62.1

7 How to Check if a Point is a Solution  Is (2,-4) a solution of 4x – 3y = 22 ?  Substitute 2 for x, and -4 for y 4x – 3y = 22 4(2) – 3(-4) 22 ? 8 + 12 22 ? 20 ≠ 22 No, not a solution  Is (-3,-5) a solution of y = 2x + 1 ? y = 2x + 1 -5 2(-3) + 1 ? -5 -6 + 1 ? -5 = -5 Yes, it’s a solution! 72.1

8 Graph the equation y = x 82.1

9 Graph the equation y = 2x 92.1

10 Graph the equation y = -½x 102.1

11 Graph the equation y = |x| 112.1

12 Graph the equation y = x 2 - 5 122.1

13 Warm up that Ol’ Homework…  Next time:  Section 2.2 Functions Section 2.2 Functions 132.1


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