Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4....
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Transcript of Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4....
![Page 1: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/1.jpg)
Write an equation given the following info:
1. m = (-9, -1) 2. (-2, -1) (-2, 3)
3. (-2, 6) (2, 8) 4. m = 0 (3, 4)
2
3
25
3y x
2x
17
2y x 4y
Warm up
![Page 2: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/2.jpg)
Review HW
![Page 3: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/3.jpg)
Skills CheckSkills Check
![Page 4: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/4.jpg)
• Graphs: Lines Never Intersect and are in the same plane
• Equations:
Same Slopes
Different y-intercepts
PARALLEL LINES
![Page 5: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/5.jpg)
• Graphs: Lines Intersect at 90º angles
• Equations:
Opposite Reciprocal Slopes
With the same or different y-int
PERPENDICULAR LINES
![Page 6: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/6.jpg)
2 111. 2.
3 12
13. 7 4.
9
Find the Opposite Reciprocal Slopes
12
11
1
7 9
3
2
![Page 7: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/7.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 8: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/8.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 9: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/9.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 10: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/10.jpg)
Write a line parallel to the line 2x + y = 3 and passes through the point (-2, 5).
y = -2x + 1
![Page 11: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/11.jpg)
Write a line parallel to the line y = 3x – 5 and passes through the point (-5, -2).
y = 3x + 13
![Page 12: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/12.jpg)
Write a line parallel to the line y = -4x + 1 and passes through the point (2, -1).
y = -4x + 7
![Page 13: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/13.jpg)
Write a line parallel to the line y = -x – 7 and passes through the point (-4, -4).
y = -x – 8
![Page 14: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/14.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 15: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/15.jpg)
Write a line perpendicular to the line y = ½ x – 2 and passes through the point (1, 0).
y = -2x + 2
![Page 16: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/16.jpg)
Write a line perpendicular to the line y = -3x + 2 and passes through the point (6, 5).
y = 1/3x + 3
![Page 17: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/17.jpg)
Write a line perpendicular to the line 2x + 3y = 9 and passes through the point (6, -1).
y = 3/2 x – 10
![Page 18: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/18.jpg)
Write a line perpendicular to the line y = 2x – 1 and passes through the point (2, 4).
y = -1/2x + 5
![Page 19: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/19.jpg)
Write a line perpendicular
to the line and
passes through the point
(5, 1).
y = 3x – 14
12
3y x
![Page 20: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/20.jpg)
ClassworkClassworkWorksheet
![Page 21: Write an equation given the following info: 1. m = (-9, -1) 2. (-2, -1) (-2, 3) 3. (-2, 6) (2, 8) 4. m = 0 (3, 4) Warm up.](https://reader036.fdocuments.in/reader036/viewer/2022062511/551b50d1550346dd1a8b5f08/html5/thumbnails/21.jpg)
HomeworkHomeworkWorksheet