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Understanding Slope, Intercepts, and Line Equations

nolan-avila avatar
nolan-avila
74 diapositives · 894 Views · Nov 13, 2014

This resource covers essential concepts such as the slope of a line, slope-intercept form, and the relationship between parallel and perpendicular lines. Learn how to graph equations, calculate slopes, and identify intercepts. Engage with problems on finding slopes between points, determining equations of lines given slope and a point, and recognizing properties of parallel and perpendicular lines. Explore practical examples and solutions to enhance understanding. Ideal for students and anyone looking to strengthen their grasp on linear equations in algebra.

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  1. Slope

  2. Parallel and Perpendicular lines.

  3. Intercepts

  4. Slope-Intercept Form

  5. Graphing Equations

  6. Standard Form

  7. Slope-Intercept Form Graphing Equations Parallel and Perpendicular lines Slope Intercepts Standard Form $100 $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 $500

  8. 1-100 1 - 100 the formula for slope $100

  9. 1-100A 1 - 100 What is " "? $100

  10. 1-200 Find the slope of the line through (1, 2) and (3, 4). $200

  11. 1-200A 1 - 100 What is "1"? $200

  12. 1-300 Find the slope of the line through (-1, 3) and (3, 3). $300

  13. 1-300A 1 - 100 What is "0"? $300

  14. 1-400 Find the slope of the line through (-2, 1) and (4, 3). $400

  15. 1-400A 1 - 100 What is " "? $400

  16. 1-500 Find the slope of the line through (1, -2) and (1, 3). $500

  17. 1-500A 1 - 100 What is "undefined"? $500

  18. 2-100 1 - 100 Non vertical lines are parallel if they have $100

  19. 2-100A 1 - 100 What is “same slope and different y=intercept"? $100

  20. 2-200 Two non vertical lines with the product of their slopes equal to -1. $200

  21. 2-200A 1 - 100 What is “perpendicular lines"? $200

  22. 2-300 Get the equation of the line that is parallel to .y=2x+3 and passes through (-3,-1) $300

  23. 2-300A 1 - 100 What is "y =2x+5"? $300

  24. 2-400 Determine whether the graphs of the given equations are perpendicular, parallel or neither. y=x+11 y=-x+2 $400

  25. 2-400A 1 - 100 What is “perpendicular lines"? $400

  26. 2-500 Write an equation of the line passing through (-3, 4) with slope 0. $500

  27. 2-500A 1 - 100 What is "y = 4"? $500

  28. 3-100 1 - 100 the point where a line crosses the horizontal axis $100

  29. 3-100A 1 - 100 What is "x-intercept"? $100

  30. 3-200 substitute 0 for y to find this $200

  31. 3-200A 1 - 100 What is "x-intercept"? $200

  32. 3-300 Find the y-intercept of 3x + 4y = 24. $300

  33. 3-300A 1 - 100 What is "(0, 6)"? $300

  34. 3-400 Find the x-intercept of $400

  35. 3-400A 1 - 100 What is "(20, 0)"? $400

  36. 3-500 Find both intercepts of -2x + 8y = -8. $500

  37. 3-500A 1 - 100 What is "(4, 0) and (0, -1)"? $500

  38. 4-100 1 - 100 the formula for slope-intercept form $100

  39. 4-100A 1 - 100 What is "y = mx + b"? $100

  40. 4-200 the slope of the line y = -2x - 3 $200

  41. 4-200A 1 - 100 What is "m = -2"? $200

  42. 4-300 the y-intercept of the line y = 3x - 4 $300

  43. 4-300A 1 - 100 What is "b = -4"? $300

  44. 4-400 Write the equation of a line with slope = -4 and y-intercept = 5. $400

  45. 4-400A 1 - 100 What is "y = -4x + 5"? $400

  46. 4-500 Find the slope and y-intercept of 3y = 2x - 9. $500

  47. 4-500A 1 - 100 What is "m = b = -3"? $500

  48. 5-100 1 - 100 Write an equation. $100

  49. 5-100A 1 - 100 What is "y = 2x - 4"? $100