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Bellringer August 16 Evaluate the following equations for the given values

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Presentation on theme: "Bellringer August 16 Evaluate the following equations for the given values "โ€” Presentation transcript:

1 Bellringer August 16 Evaluate the following equations for the given values ๐‘ฆโˆ’๐‘ง+๐‘ฅ๐‘งรท6;๐‘ข๐‘ ๐‘’ ๐‘ฅ=3, ๐‘ฆ=4, ๐‘Ž๐‘›๐‘‘ ๐‘ง=4 ๐‘ร— ๐‘๐‘ 4 โˆ’ 7โˆ’๐‘Ž ;๐‘ข๐‘ ๐‘’ ๐‘Ž=4, ๐‘=8, ๐‘Ž๐‘›๐‘‘ ๐‘=5 ๐‘ฅโˆ’7+ ๐‘ฅ+๐‘ง 3 ๐‘ฅ 6 +3 ;๐‘ข๐‘ ๐‘’ ๐‘ฅ=6 ๐‘Ž๐‘›๐‘‘ ๐‘ง=3

2 Introduction Notes Point Slope form
MAFS.912.F-IF.3.7a

3 Linear Functions The parent function for all linear functions is f(x)= . All linear functions have critical 3 critical features: 1) where your function crosses the x-axis 2) where your line crosses the y-axis and 3) the slant of your function from one point to the next. x x-intercept y-intercept slope

4 Slope Formula โˆ†๐‘ฆ โˆ†๐‘ฅ = Where ๐‘ฅ 1 , ๐‘ฆ 1 ๐‘Ž๐‘›๐‘‘ ( ๐‘ฅ 2 , ๐‘ฆ 2 ) are two solutions to the function. Examples ๐‘ฆ 2 โˆ’ ๐‘ฆ 1 ๐‘ฅ 2 โˆ’ ๐‘ฅ 1 1. (1,3) and (-2,-11) โˆ’11โˆ’3 โˆ’2โˆ’1 = โˆ’14 โˆ’3 = 14 3 2. (5,-2) and (-5,6) 6โˆ’(โˆ’2) โˆ’5โˆ’5 = 8 โˆ’10 =โˆ’ 4 5 3. (8,5) and (-4,4) 5โˆ’4 8โˆ’(โˆ’4) = 1 12

5 Write an equation in Point slope form for the following
๐‘ฆโˆ’ ๐‘ฆ 1 =๐‘š(๐‘ฅโˆ’ ๐‘ฅ 1 ) _________________ where m=_________ and x1 and y1 are______________________________. Example: Write an equation in Point slope form for the following Slope Coordinates for a point on the line 1. (4, -3) m= (5, 7) m= (-1,-3) m= 6 8 ๐‘ฆ+3= 2 3 (๐‘ฅโˆ’4) ๐‘ฆ+3= 3 4 (๐‘ฅ+1) ๐‘ฆโˆ’7=โˆ’2 (๐‘ฅโˆ’5)

6 Graphing in Point Slope form
Steps to graphing in Point slope form: Step 1:_________________________________ (Reminder: the points are opposite signs. Why?) Step 2:_________________________________ Graph the following: ๐‘ฆ+6=โˆ’ 2 5 (๐‘ฅโˆ’2) Plot the given point ( ๐‘ฅ 1 , ๐‘ฆ 1 ) โ€œfollowโ€ the slope

7 Examples 4. ๐‘ฆโˆ’3= 5 2 (๐‘ฅ+4)

8 Examples 5.๐‘ฆ+4= 2 3 (๐‘ฅโˆ’3)

9 Examples 6. ๐‘ฆโˆ’4=โˆ’3๐‘ฅ+6

10 Writing an equation in Point Slope form
Step 1:_________________________________ (Reminder: the points are opposite signs. Why?) Step 2:_________________________________ ______________________ or Identify point ( ๐‘ฅ 1 , ๐‘ฆ 1 ) on the line Determine slope ๐‘ฆโˆ’4=โˆ’ 5 4 (๐‘ฅ+4) ๐‘ฆ+1=โˆ’ 5 4 ๐‘ฅ

11 Example ๐‘ฆโˆ’1=โˆ’(๐‘ฅ+4) ______________________ or ๐‘ฆ+1=โˆ’(๐‘ฅ+2)

12 Example ๐‘ฆ= 1 2 ๐‘ฅ ______________________ or ๐‘ฆโˆ’1= 1 2 (๐‘ฅโˆ’2)

13 Example ๐‘ฆ+4= 1 2 (๐‘ฅ+1) ______________________ or ๐‘ฆ+3= 1 2 (๐‘ฅโˆ’1)

14 Writing an equation in Point Slope form
10. (1,3) and (-2,-11) __________________ or 11. (5,-2) and (-5,6) __________________ or 12. (8,5) and (-4,4) __________________ or ๐‘ฆโˆ’3=โˆ’ 14 3 (๐‘ฅโˆ’1) ๐‘ฆ+2=โˆ’ 4 5 (๐‘ฅโˆ’5) ๐‘ฆโˆ’5=โˆ’ 1 12 (๐‘ฅโˆ’8) ๐‘ฆ+11=โˆ’ 14 3 (๐‘ฅ+2) ๐‘ฆโˆ’6=โˆ’ 4 5 (๐‘ฅ+5) ๐‘ฆโˆ’4=โˆ’ 1 12 (๐‘ฅ+4)

15 Homework: Complete the assigned handout โ€“
Point Slope Form (Practice Worksheet) Due: Thursday August 17th


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