11 x1 t05 06 line through pt of intersection (2013)
TRANSCRIPT
![Page 1: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/1.jpg)
Equation of a line through a point and intersection of
another two lines
![Page 2: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/2.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
![Page 3: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/3.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
![Page 4: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/4.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
![Page 5: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/5.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
![Page 6: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/6.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
7 = 14x
![Page 7: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/7.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
7 = 14x 2x
![Page 8: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/8.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
7 = 14x 2x 2 2 1 0y
3y
![Page 9: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/9.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
7 = 14x 2x 2 2 1 0y
3y the lines intersect at 2,3
![Page 10: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/10.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
7 = 14x 2x 2 2 1 0y
3y the lines intersect at 2,3 3 2
2 113
m
![Page 11: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/11.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
7 = 14x 2x 2 2 1 0y
3y the lines intersect at 2,3 3 2
2 113
m
12 13
y x
![Page 12: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/12.jpg)
Equation of a line through a point and intersection of
another two linese.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y – 9 = 0 and the point (1,2).
2 1 03 5 9 0
x yx y
10 5 5
3 5 9x yx y
( )
7 = 14x 2x 2 2 1 0y
3y the lines intersect at 2,3 3 2
2 113
m
12 13
y x
3 6 13 7 0
y xx y
![Page 13: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/13.jpg)
Alternatively
![Page 14: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/14.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
![Page 15: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/15.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
![Page 16: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/16.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
![Page 17: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/17.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
5 4 0k
![Page 18: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/18.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
5 4 0k
4 554
k
k
![Page 19: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/19.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
5 4 0k
4 554
k
k
52 1 3 5 9 04
x y x y
![Page 20: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/20.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
5 4 0k
4 554
k
k
52 1 3 5 9 04
x y x y
8 4 4 15 25 45 0x y x y
![Page 21: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/21.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
5 4 0k
4 554
k
k
52 1 3 5 9 04
x y x y
8 4 4 15 25 45 0x y x y
7 21 49 0x y
![Page 22: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/22.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
5 4 0k
4 554
k
k
52 1 3 5 9 04
x y x y
8 4 4 15 25 45 0x y x y
7 21 49 0x y 3 7 0x y
![Page 23: 11 x1 t05 06 line through pt of intersection (2013)](https://reader033.vdocument.in/reader033/viewer/2022042701/559c64d81a28abc70c8b478a/html5/thumbnails/23.jpg)
Alternatively 1 1 1 2 2 2 0a x b y c k a x b y c
2 1 3 5 9 0x y k x y
1,2 : 2 1 2 1 3 1 5 2 9 0k
5 4 0k
4 554
k
k
52 1 3 5 9 04
x y x y
8 4 4 15 25 45 0x y x y
7 21 49 0x y 3 7 0x y
Exercise 5F; 2b, 3b, 6b(i), 7ab (i, iii), 9, 10, 13*
Exercise 5G; 2 to 14 evens, 15*