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     Day 2:           Opener

Think back:

Complete the 
following problem on a 
math raffle ticket.

Good Luck!
                              1. Write the equation of the line that is parallel to x = ‐6 and 
                              passes through the point (3,10).




                                                                                                  1
Homework Questions:




                      2
3
4
     Section 4.7  Jiffy Graphs

TOPIC ONE (cont.)         Solve your given equation for y.
Information from 
Equations



                          Think back: Are these equations equivalent?  How do you 
                          know?



                          Since they are equivalent then they should all be the 
                          same line! This means they should all have the same   
                          __________, ________________, and ___________.


It's Your Turn!           1. What is the slope of line l ? 

Complete the following 
4 questions with your 
partner.(5 minutes)
                          2. Where does l cross the y‐axis?




                          3. Where does l cross the x‐axis?




                          4. Which equation for l makes it easiest to see that the point 
                          (5,3) is on the line?  Explain.




                                                                                            5
Linear Equation Forms   Point‐Slope Form (IYT # 1 & 4):
                        •  

                        •  


                        Slope‐Intercept Form (IYT # 1 & 2):
                        •  

                        •  


                        Standard Form (IYT # 3):
                        •  

                        •  




                                                              6
TOPIC TWO               We can use the different forms of linear equations that we 
 Writing equations of    learned today to write the equation of a line in a jiffy!
 lines using the 
 different forms.



Given slope and through  (10, ‐3) with slope 7
the given point: (Ex. #1)
                          Step 1: Substitute the given information into point‐slope 
                          form.




                         Step 2: Simplify to slope‐intercept form (solve for y).




Given 2 points: (Ex. # 2) (0,7) and (‐4,9)

                         Step 1: Find the slope between these 2 points.




                         Step 2: Substitute one of the points and the slope into point‐
                         slope form.



                         Step 3: Simplify to slope‐intercept form (solve for y).




                                                                                          7
TOPIC THREE             Think back: How did we graph equations last chapter?
 Jiffy Graphing



                         We are going to use the forms of linear equations to help us 
                         graph in a jiffy!


Using Point‐Slope        Graph y+2 = ‐3(x+1).
Form: (Ex. # 3)
                         Step 1: Plot the given point.

                         Step 2: Use the slope to 
                         plot two more points.

                         Step 3: Connect all three 
                         points with a line.




Using Slope‐Intercept    Graph y = 1.75x ‐1.
Form: (Ex.#4)
                         Step 1: Plot your 
                         y‐intercept.

                         Step 2: Use the slope to 
                         plot two more points.

                         Step 3: Connect all three 
                         points with a line.




                                                                                         8
Exit Slip:                 1.) Think about how you might graph the equation of a line 
                           given to you in standard form.  Write down what your method 
                           would be on a half‐sheet of paper and turn it in before you 
                           leave.
Think back:
What information can 
you easily get from 
standard form?
            OR
Can you change it to an 
equivalent form?




                           2.) Graph 3x+4y = 12 using your method.




                                                                                          9
10

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4 7 Notes A

  • 1.      Day 2:           Opener Think back: Complete the  following problem on a  math raffle ticket. Good Luck! 1. Write the equation of the line that is parallel to x = ‐6 and  passes through the point (3,10). 1
  • 3. 3
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  • 5.      Section 4.7  Jiffy Graphs TOPIC ONE (cont.) Solve your given equation for y. Information from  Equations Think back: Are these equations equivalent?  How do you  know? Since they are equivalent then they should all be the  same line! This means they should all have the same    __________, ________________, and ___________. It's Your Turn! 1. What is the slope of line l ?  Complete the following  4 questions with your  partner.(5 minutes) 2. Where does l cross the y‐axis? 3. Where does l cross the x‐axis? 4. Which equation for l makes it easiest to see that the point  (5,3) is on the line?  Explain. 5
  • 6. Linear Equation Forms Point‐Slope Form (IYT # 1 & 4): •   •   Slope‐Intercept Form (IYT # 1 & 2): •   •   Standard Form (IYT # 3): •   •   6
  • 7. TOPIC TWO We can use the different forms of linear equations that we  Writing equations of  learned today to write the equation of a line in a jiffy! lines using the  different forms. Given slope and through  (10, ‐3) with slope 7 the given point: (Ex. #1) Step 1: Substitute the given information into point‐slope  form. Step 2: Simplify to slope‐intercept form (solve for y). Given 2 points: (Ex. # 2) (0,7) and (‐4,9) Step 1: Find the slope between these 2 points. Step 2: Substitute one of the points and the slope into point‐ slope form. Step 3: Simplify to slope‐intercept form (solve for y). 7
  • 8. TOPIC THREE Think back: How did we graph equations last chapter? Jiffy Graphing We are going to use the forms of linear equations to help us  graph in a jiffy! Using Point‐Slope  Graph y+2 = ‐3(x+1). Form: (Ex. # 3) Step 1: Plot the given point. Step 2: Use the slope to  plot two more points. Step 3: Connect all three  points with a line. Using Slope‐Intercept  Graph y = 1.75x ‐1. Form: (Ex.#4) Step 1: Plot your  y‐intercept. Step 2: Use the slope to  plot two more points. Step 3: Connect all three  points with a line. 8
  • 9. Exit Slip: 1.) Think about how you might graph the equation of a line  given to you in standard form.  Write down what your method  would be on a half‐sheet of paper and turn it in before you  leave. Think back: What information can  you easily get from  standard form?        OR Can you change it to an  equivalent form? 2.) Graph 3x+4y = 12 using your method. 9
  • 10. 10