warmups 1. write an equation in standard form: (1,2)(5,-2) 2. find the slope and y-intercept: 6x + y...
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![Page 1: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/1.jpg)
Warmups
1. Write an equation in standard form: (1,2)(5,-2)
2. Find the slope and y-intercept:
6x + y = 12 y + 3 = -1(x + 1)1 2
2 5y x
![Page 2: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/2.jpg)
QUIZ TIME!!!
Take out a pencil and Calculator Please put everything else away
![Page 3: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/3.jpg)
6-6 Parallel and Perpendicular Lines
Objective: To identify if two lines are parallel, perpendicular or
neither
![Page 4: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/4.jpg)
Parallel vs. Perpendicular
Parallel – Lines have the same slope // ex: -2 and -2
1 1
Perpendicular – Lines have opposite/reciprocal slopes . ex: -2 and 1
1 290°
![Page 5: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/5.jpg)
Example 1
1. Graph the following lines on the same graph:
y = -2x + 4
y – 1 = -2(x + 1)
Are they parallel, perpendicular, or neither?
// n
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Example 2
and
Then circle parallel, perpendicular or neither
12
2y x
11 ( 6)
2y x
![Page 7: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/7.jpg)
Example 3
2x + 3y = 6 and
Then circle parallel, perpendicular or neither
33
2y x
![Page 8: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/8.jpg)
Example 4
and y = -3x + 2
Then circle parallel, perpendicular or neither
11
3y x
![Page 9: Warmups 1. Write an equation in standard form: (1,2)(5,-2) 2. Find the slope and y-intercept: 6x + y = 12 y + 3 = -1(x + 1)](https://reader035.vdocument.in/reader035/viewer/2022071806/56649d0a5503460f949dccd9/html5/thumbnails/9.jpg)
Homework
Pg. 367 #18-23 & Pg. 771(6-6) #1-6
Look at the SLOPE Same = parallel Opposite (opposite sign & reciprocal) = perpendicular Neither = neither
You do not have to graph on the homework!!