Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point...
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Transcript of Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point...
![Page 1: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/1.jpg)
Warm-up
Graph: 4x – 6y = 18
Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form.
Write it in slope intercept form
![Page 2: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/2.jpg)
3.6 Slopes of Parallel and
Perpendicular Lines10/31 with practice on 11/1
![Page 3: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/3.jpg)
I can tell if two lines are parallel or perpendicular by finding their slopes.
I can write equations of parallel and perpendicular lines.
Learning Targets
![Page 4: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/4.jpg)
Parallel Lines have equal slopes (and different y intercepts)
Line 1 contains A(-4, 2) and B(3, 1) Line 2 contains C(-4, 0) and D(8, -2)Are Lines 1 and 2 Parallel? Hint, find the slopes
![Page 5: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/5.jpg)
Are Lines 4y – 12x = 20 and y = 3x -1 Parallel?
Are lines y = - x + 6 and 2x + 4y = 20 Parallel?
![Page 6: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/6.jpg)
Write an equation for the line parallel to y = -4x + 3 and through the point (1, -2)
Write an equation for the line parallel to y = 8x – 2 and through the point (6, -1)
![Page 7: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/7.jpg)
Perpendicular Lines have slopes that are negative reciprocals of each other (their product is -1)
What is a negative reciprocal?
![Page 8: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/8.jpg)
Line 1 goes through (-2, 3) and (6, -3)
Line 2 goes through (-3, -2) and (0, 2)Are lines 1 and 2 Perpendicular? Hint: find the slopes
![Page 9: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/9.jpg)
Are the following lines perpendicular?
2x – 7y = -424y = -7x – 2
![Page 10: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/10.jpg)
Are the following lines perpendicular?
2x + 3y = 66x – 4y = 24
![Page 11: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/11.jpg)
Write an equation of a line Perpendicular to y = -3x + 5 and through the point (-3, 7)
![Page 12: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/12.jpg)
Write the equation for a line that contains (1, 8) and is perpendicular to y = ¾ x + 1
![Page 13: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/13.jpg)
No homework, but be prepared to practice this further.
![Page 14: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/14.jpg)
Practice worksheet with follow up quiz on Monday
Day 3 Review 3.5-3.6 (11/1)
![Page 15: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/15.jpg)
Review, go over hmwk wkst, review problems
Quiz with 25-30 mins left
Monday 11/4
![Page 16: Warm-up Graph: 4x – 6y = 18 Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form. Write it in slope.](https://reader035.fdocuments.us/reader035/viewer/2022072006/56649d0a5503460f949dcdf6/html5/thumbnails/16.jpg)
Homework p. 314 #2-36 even