1. Lesson 4.5 Graphing Lines Using Standard Form
Students will be able to graph equation using standard form.

2. Warm-Up #7 (2/13/17) Find the x and y-intercept using the graph
Use the equation 3x + 4y = 12 to find the x and y-intercept

3. Homework (2/13/17)
Lesson 4.4 Packet_finish

4. Stand Quietly

5. Warm-Up #8 (2/15/17) Find the slope given two points: (2,-3) and (4,1)
2.4x + 3y = 2. Is this in standard form? Why?
2x + 3y = -4. Find the x-intercept and y- intercept?

6. Homework
(2/15/17) Lesson 4.5 Packet_finish (2/16/17) Lesson 4.6 Packet_finish Due on Tuesday

7. Remember the set of integers is
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 !!!

8. These equations are all in
Standard Form:
2x – y = -1
x + y = -4
3x – 2y = 4
Notice that these equations are all in the form Ax + By = C.

9. No fractions, no decimals !
Example 2: Tell whether the equations below are in standard form. A B C D E F NO
x-term + y-term = constant
No fractions, no decimals !
YES NO NO
FRACTIONS
YES NO
DECIMALS

10. Example 3: Write each linear equation in standard form.
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.

11. D. C.

12. Write a linear equation in standard form to model this situation.
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.
Let
# student tickets
$2.00
# adult tickets
$4.00

13. Let # classical CDs $10.00 # other CDs $15.00
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.
Let
# classical CDs
$10.00
# other CDs
$15.00

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

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

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

17. x- intercept y-intercept
Write
in slope-intercept form to find the slope.

18. x- intercept y-intercept

19. Slope =
y - intercept =
x - intercept =

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

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

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

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

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

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

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

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

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

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

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

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

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

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

34. Example 6: Graph the following equations.

35. Example 6: Graph the following equations.

36. Example 6: Graph the following equations.

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

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

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

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

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

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

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

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

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