Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1...
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Transcript of Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1...
![Page 1: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/1.jpg)
Parallel & Perpendicular Lines
![Page 2: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/2.jpg)
Parallel Lines
m = 2/1
m = 2/1
What is the slope of the 2nd line?
+1
+2
+1
+2
![Page 3: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/3.jpg)
Perpendicular Lines
m = 2/1
What is the slope of the 2nd line?
+1
+2
+2
-1
m = -1/2
![Page 4: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/4.jpg)
Parallel : Same Slope
Perpendicular : Opposite Reciprocal Slope
m = 2/1 m = 2/1
m = 2/1 m = -1/2
![Page 5: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/5.jpg)
Perpendicular : Opposite Reciprocal Slope
m = -2/1 m = +1/2
m = +1/3 m = -3/1
![Page 6: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/6.jpg)
Find the equation for the lineparallel to 2x + y = 6
and passing through ( 2 , -3 )
First, we need slope and a point:
2x + y = 6
y = -2x + 6
m = -2 Point: ( 2 , -3 )
![Page 7: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/7.jpg)
With… slope -2 and point (2 ,-3)
y = -2x + b
-3 = -2(2) + b
y = -2x + 1
![Page 8: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/8.jpg)
Find the equation for the lineperpendicular to x + 3y = 6
and passing through ( 1 , -2 )
First, we need slope and a point:x + 3y = 6
3y = -1x + 6
m = -1/3
Point: ( 1 , -2 )
y = -1/3(x) + 2
But perpendicular, so +3/1
![Page 9: Parallel & Perpendicular Lines Parallel Lines m = 2/1 What is the slope of the 2 nd line? +1 +2 +1 +2.](https://reader035.fdocuments.in/reader035/viewer/2022072006/56649d0a5503460f949dcce4/html5/thumbnails/9.jpg)
With… slope 3 and point (1 ,-2)
y = 3x +b
-2 = 3(1) + b
y = 3x - 5