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STANDARD FORM OF A LINEAR EQUATION Day 1

STANDARD FORM OF A LINEAR EQUATION Day 1. SECTION 5.5a. The equation. is written _______________ form. If we move “. ” to the other side of the equation,. we have _______________________. slope intercept. If we move “. ” to the other side of the equation,.

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STANDARD FORM OF A LINEAR EQUATION Day 1

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  1. STANDARD FORM OF A LINEAR EQUATION Day 1 SECTION 5.5a

  2. The equation is written _______________ form. If we move “ ” to the other side of the equation, we have _______________________. slope intercept

  3. If we move “ ” to the other side of the equation, we have _______________________. This is still a ________ equation, but it is written in a different form. linear A linear equation in the form _______________ is in ______________, where A, B, and C are integers. standard form

  4. A linear equation in the form _______________ is in ______________, where A, B, and C are integers. standard form Remember the set of integers is . NO FRACTIONS!!! NO DECIMALS !!!

  5. Let • Example 1: • Jackie is in charge of selling tickets for the school jazz concert at $2.00 for students and $4.00 for adults. She hopes that the total ticket sales will be about $600 in order to cover expenses and make a modest profit. • Write a linear equation in standard form to model this situation. # student tickets $2.00 # adult tickets $4.00

  6. Let • A donation of $300 was make to the Classical Music Club for the purpose of building their collection of CDs. At the local music store, some classical CDs cost $10 and other cost $15. The club wants to know how many of each type can buy with the $300. • (Do not consider sales tax.) • Write an equation in standard form to model this situation. # classical CDs $10.00 # other CDs $15.00

  7. Example 2: Tell whether the equations below are in standard form. NO x-term + y-term = constant No fractions, no decimals ! YES NO NO FRACTIONS YES NO DECIMALS

  8. If an equation is not written in standard form, we can rewrite the equation so that it is in standard form. Example 3: Write each linear equation in standard form. A. B.

  9. D. C.

  10. x y slope We can find the ___& ___ intercepts and the ________ when the equation is written in standard form. y-intercept is at x-intercept is at

  11. y-intercept is at x-intercept is at x We know that y = 0 at the ____ intercept, so we can plug in 0 for ___ to find the _____ intercept. y x y We know that x = 0 at the ____ intercept, so we can plug in 0 for ___ to find the _____ intercept. x y

  12. Example 4: Find the x & y intercepts of the following equations. A. Plug in 0 for x Plug in 0 for y x- intercepty-intercept

  13. Example 4: Find the x & y intercepts of the following equations. B. Plug in 0 for x Plug in 0 for y x- intercepty-intercept

  14. Example 4: Find the x & y intercepts of the following equations. C. Plug in 0 for x Plug in 0 for y x- intercepty-intercept

  15. x- intercepty-intercept Write in slope-intercept form to find the slope.

  16. x- intercepty-intercept

  17. Slope = y - intercept = x - intercept =

  18. To find the x-intercept, cross out the y-term… Slope = y - intercept = x - intercept =

  19. To find the y-intercept, cross out the x-term… Slope = y - intercept = x - intercept =

  20. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slopex- intercepty-intercept

  21. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slopex- intercepty-intercept

  22. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slopex- intercepty-intercept

  23. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = A. Slopex- intercepty-intercept

  24. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slopex- intercepty-intercept

  25. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slopex- intercepty-intercept

  26. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slopex- intercepty-intercept

  27. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = B. Slopex- intercepty-intercept

  28. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slopex- intercepty-intercept

  29. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slopex- intercepty-intercept

  30. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slopex- intercepty-intercept

  31. Example 5: Find the slope and x & y intercepts of the following equations. A = B = C = C. Slopex- intercepty-intercept

  32. If an equation is written in standard form, you can use the _______________ to graph the equation quickly. x & y intercepts

  33. Example 6: Graph the following equations. A.

  34. Example 6: Graph the following equations. A.

  35. Example 6: Graph the following equations. A.

  36. Example 6: Graph the following equations. B.

  37. Example 6: Graph the following equations. B.

  38. Example 6: Graph the following equations. B.

  39. Example 6: Graph the following equations. C.

  40. Example 6: Graph the following equations. C.

  41. Example 6: Graph the following equations. C.

  42. Example 6: Graph the following equations. D.

  43. Example 6: Graph the following equations. D.

  44. Example 6: Graph the following equations. D.

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