1. Bellwork 12/1
1.) Write an equation of a line given the points (1,6) & (3,-4)
1.) Find the Slope
2.) Plug in one point and the slope. (y - y1) = m(x - x1)

2. 1.) Write an equation of a line given
The points (1,6) & (3,-4)
1.) Find the Slope
m = (-4 -6)/(3-1)
m = -10/2 = -5

3. Write an equation of a line given
The points (1,6) & (3,-4)
2.) Plug in one of the points (y - y1) = m(x - x1)
(y - 6) = -5(x - 1)
y - 6 = -5x + 5

4. Write an equation of a line given
y - 6 = -5x + 5
y = -5x
y = -5x + 11

5. Today’s Objective
To be able to Re-Write and equation in Standard Form.
Ax + By = C…… where
A,B & C are real numbers

6. Slope, y-intercept y=mx+b Point, Slope y-y1=m(x-x1)
Equations of Lines
Vertical line x = #
Horizontal line y = #
Slope, y-intercept y=mx+b
Point, Slope y-y1=m(x-x1)
Standard Form Ax+By = C

7. 1.) Writing an equation in Standard Form Ax + By = C
y = 2/5x - 3
The 1st step is to multiply both sides by 5.
Why?

8. 1.) Writing an equation in Standard Form Ax + By = C
y = 2/5x - 3
(5)y = (2/5x - 3)5
5y = 2x - 15
5y -2x = 2x -2x - 15
-2x + 5y = -15

9. Writing an equation in Standard Form Ax + By = C
y = 1/2x + 4
The 1st step is to multiply both sides by 2.
You Try This One

10. Writing an equation in Standard Form Ax + By = C
y = 1/2x + 4
(2)y = (1/2x + 4)2
2y = x + 8
2y -x = x -x + 8
-x + 2y = 8

11. 2.) Writing an equation in Standard Form Ax + By = C
y = 0.55x
The 1st step is to multiply both sides by 100.
Why?

12. 2.) Writing an equation in Standard Form Ax + By = C
y = 0.55x
(100) y = (0.55x )100
100y = 55x + 135
100y -55x = 55x -55x + 135
-55x + 100y = 135

13. -55x + 100y = 135
Since all 3 TERMS are divisible by 5, we can simplify by dividing both sides by 5.
(-55x + 100y)/5 = 135/5
-11x + 20y = 27

14. Writing an equation in Standard Form Ax + By = C
y = 0.7x + 1.3
The 1st step is to multiply both sides by 10.
You Try This One

15. 2.) Writing an equation in Standard Form Ax + By = C
y = 0.7x + 1.3
(10) y = (0.7x + 1.3)10
10y = 7x + 13
10y -7x = 7x -7x + 13
-7x + 10y = 13

16. Test 5 Review a.)slope and y-intercept b.) Graph of the line
Write Equations of lines given
a.)slope and y-intercept
b.) Graph of the line
c.) 2 points
d.) y=mx+b ~ Ax+By=C

17. Test 5 Review
Do page 263 (1-9, skip 7)
Due Friday
Do Review worksheet

18. Classwork
Do worksheet 5.6
homework page 267 (1-18)

19. Bellwork 12/3 ~ Write the equation of the line
1.) (3,4) m = 6
2.) y-intercept = 3, slope=2
3.) (6,-2) & (-4, 4)

20. Write the equation 1.) (3,4) m = 6 y - y1 = m(x - x1) y - 4 = 6(x - 3)

21. Write the equation
2.) y-intercept = 3, slope=2
y = 2x + 3

22. Write the equation 3.) (6,-2) & (-4, 4) m = (4 - -2)/(-4 - 6)
y - y1 = m(x - x1)
y - 4 = -3/5(x - -4)

23. Write the equation y - 4 = -3/5(x - -4) y - 4 = -3/5x - 12/5

24. Test 5 Review a.)slope and y-intercept b.) Graph of the line
Write Equations of lines given
a.)slope and y-intercept
b.) Graph of the line
c.) 2 points
d.) y=mx+b ~ Ax+By=C

25. y = 2x - 7 Chapter 5 Review 1.) Slope = 2, y-intercept = -7
D.) y = 2x - 3

26. Chapter 5 Review
3.) Write an equation Y 5 X -7
y = -12/5x - 7

27. Chapter 5 Review 4.) (-2, 6) , slope = -4 y - y1 = m(x - x1)
y - 6 = -4(x - -2)
y - 6 = -4x - 8
y = -4x
y = -4x -2

28. 5.) 5y - 2x = 3 5y - 2x + 2x = 3 + 2x 5y = 2x + 3 5y/5 = (2x + 3)/5
Chapter 5 Review
5.) y - 2x = 3
5y - 2x + 2x = 3 + 2x
5y = 2x + 3
5y/5 = (2x + 3)/5
y = 2/5x + 3/5

29. Chapter 5 Review 6.) (-5, -1) , slope = -4 y - y1 = m(x - x1)
y - -1 = -4(x - -5)
y + 1 = -4x - 20
y = -4x
y = -4x - 21

30. Chapter 5 Review 7.) (3,-1) , slope = 3 y - y1 = m(x - x1)
y - -1 = 3(x - 3)
y + 1 = 3x - 9
y = 3x
y = 3x - 10

31. Chapter 5 Review
8.) (-2, -2) slope = 2 Y
y = 2x + 2 X

32. 9.) (2, -18) and ( 1,-12) 1.) Find the Slope m = (-12 - -18)/(1 - 2)
Chapter 5 Review
9.) (2, -18) and ( 1,-12)
1.) Find the Slope
m = ( )/(1 - 2)
m = ( )/(-1)
m = 6/-1 = -6

33. 9.) (2, -18) and ( 1,-12) y - y1 = m(x - x1) Chapter 5 Review
y = -6(x - 1)
y + 12 = -6x + 6
y = -6x
y = -6x - 6

34. Chapter 5 Review
10.) Write an Equation Y
y = -2/3x + 6 X

35. 11.) y = -3/5x + 9/5 (5)y = (-3/5x + 9/5)5 5y = -3x + 9
Chapter 5 Review
11.) y = -3/5x + 9/5
(5)y = (-3/5x + 9/5)5
5y = -3x + 9
5y + 3x = -3x + 3x+ 9
3x + 5y = 9

36. 12.) (2, -4) and ( 7,3) 1.) Find the Slope m = (3 - -4)/(7 - 2)
Chapter 5 Review
12.) (2, -4) and ( 7,3)
1.) Find the Slope
m = (3 - -4)/(7 - 2)
m = 7/5

37. 12.) (2, -4) and ( 7,3) y - y1 = m(x - x1) y - -4 = 7/5(x - 2)
Chapter 5 Review
12.) (2, -4) and ( 7,3)
y - y1 = m(x - x1)
y - -4 = 7/5(x - 2)
y + 4 = 7/5(x - 2)