Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students...
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![Page 1: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/1.jpg)
Writing & Identifying Equations of Parallel &
Perpendicular LinesDay 94
Learning Target:Students can prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.
![Page 2: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/2.jpg)
• Graphs: Lines Never Intersect and are in the same plane
• Equations:
Same Slopes
Different y-intercepts
PARALLEL LINES
![Page 3: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/3.jpg)
• Graphs: Lines Intersect at 90º angles
• Equations:
Opposite Reciprocal Slopes
With the same or different y-int
PERPENDICULAR LINES
![Page 4: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/4.jpg)
2 111. 2.
3 12
13. 7 4.
9
Find the Opposite Reciprocal Slopes
12
11
1
7 9
3
2
![Page 5: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/5.jpg)
1.y = -2x + 1
y = -2x – 4
2.y = 3x – 4
y = -3x + 1
3.y = 1/5 x + 2
y = -5x + 6
parallel
neither
perpendicular
Are these lines parallel, perpendicular, or neither?
![Page 6: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/6.jpg)
Are these lines parallel, perpendicular, or neither?4. y = -2x + 1
y = -1/2x – 4
5. y = 3x – 4
y = 1 + 3x
6. y = 5/6 x + 2
y = -6/5 x + 6
neither
parallel
perpendicular
![Page 7: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/7.jpg)
How to Write an Equation of a Line PARALLEL to another and
given a point
1. Given equation should be solved for y (y = mx + b)
2.Write down the slope of that line
3.Substitute m and (x, y) in y = mx + b.
4.Solve for b.
5.Write the equation using m and b.
![Page 8: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/8.jpg)
Write a line parallel to the line 2x + y = 3 and passes through the point (-2, 5).
y = -2x + 1
![Page 9: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/9.jpg)
Write a line parallel to the line y = 3x – 5 and passes through the point (-5, -2).
y = 3x + 13
![Page 10: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/10.jpg)
Write a line parallel to the line y = -4x + 1 and passes through the point (2, -1).
y = -4x + 7
![Page 11: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/11.jpg)
Write a line parallel to the line y = -x – 7 and passes through the point (-4, -4).
y = -x – 8
![Page 12: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/12.jpg)
How to Write an Equation of a Line PERPENDICULAR to another and given a
point
1. Given equation should be solved for y (y = mx + b)
2.Write down the OPPOSITE RECIPROCAL slope of that line
3.Substitute m and (x, y) in y = mx +b.
4.Solve for b.
5.Write the equation using m and b.
![Page 13: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/13.jpg)
Write a line perpendicular to the line y = ½ x – 2 and passes through the point (1, 0).
y = -2x + 2
![Page 14: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/14.jpg)
Write a line perpendicular to the line y = -3x + 2 and passes through the point (6, 5).
y = 1/3x + 3
![Page 15: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/15.jpg)
Write a line perpendicular to the line 2x + 3y = 9 and passes through the point (6, -1).
y = 3/2 x – 10
![Page 16: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/16.jpg)
Write a line perpendicular to the line y = 2x – 1 and passes through the point (2, 4).
y = -1/2x + 5
![Page 17: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/17.jpg)
Write a line perpendicular
to the line and
passes through the point
(5, 1).
y = 3x – 14
12
3y x
![Page 18: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/18.jpg)
ClassworkClassworkWorksheet
12 problems
![Page 19: Writing & Identifying Equations of Parallel & Perpendicular Lines Day 94 Learning Target : Students can prove the slope criteria for parallel and perpendicular.](https://reader035.fdocuments.us/reader035/viewer/2022062423/56649ebb5503460f94bc3b6e/html5/thumbnails/19.jpg)
HomeworkHomeworkWorksheet – 13
problemsEquations of Parallel
& Perpendicular Lines