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Section 2.1 Graphs

Section 2.1 Graphs. Points & Ordered Pairs ( x,y ) Quadrants I II III IV Solutions to Equations x-intercepts Nonlinear Equations. Points and Ordered Pairs. Plotting Points aka Graphing Points. ( , ) x-value, y-value. + – . – +.

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Section 2.1 Graphs

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

  2. Points and Ordered Pairs 2.1

  3. Plotting Points aka Graphing Points ( , )x-value, y-value + – – + 2.1

  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) 2.1

  5. Quadrants and Coordinate Signs 2.1

  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? 2.1

  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! 2.1

  8. Graph the equation y = x 2.1

  9. Graph the equation y = 2x 2.1

  10. Graph the equation y = -½x 2.1

  11. Graph the equation y = |x| 2.1

  12. Graph the equation y = x2 - 5 2.1

  13. Warm up that Ol’ Homework… • Next time: • Section 2.2 Functions 2.1

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