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Exploring Lines and Intersections in Geometry

Learn to find line intersections, segment lengths, and midpoints. Understand coordinates, quadrants, and graphing linear equations. Solve and graph equations, use Distance and Midpoint formulas. Complete assignments on pages 4-5.

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Exploring Lines and Intersections in Geometry

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  1. Lesson 1-1 Points and Lines

  2. Objective:

  3. Objective: To find the intersection of two lines and to find the length and the coordinates of the midpoint of a segment.

  4. Definitions:

  5. Definitions: coordinates

  6. Definitions: x-axis

  7. Definitions: y-axis

  8. Definitions: origin

  9. Definitions: quadrants

  10. Definitions: x-coordinate

  11. Definitions: y-coordinate

  12. Definitions: solution

  13. Definitions: graph

  14. Definitions: y-intercept

  15. Definitions: x-intercept

  16. Definitions: linear equation

  17. Definitions: general form of a linear equation

  18. Sketch the graph of 3x + 2y = 18.

  19. Determine where the lines intersect.2x + 5y = 103x + 4y = 12

  20. When two linear equations have no common solution, their graph are ???

  21. When two linear equations have infinitely many solutions, their graph are ???

  22. Solve. Then graph the solutions.3x - y = 97x -5y = 25

  23. Distance Formula:

  24. Midpoint Formula:

  25. If A = (-1, 9) and B = (4, -3), find the length of AB and the coordinates of the midpoint of AB.

  26. Assignment:Pgs. 4-5 C.E. 1-10 allW.E. 1, 3, 7, 10, 11

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