11 x1 t05 06 line through pt of intersection (2013)
1. Equation of a line through a
point and intersection of
another two lines
2. Equation of a line through a
point and intersection of
another two lines
e.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y β 9 = 0 and the point (1,2).
3. Equation of a line through a
point and intersection of
another two lines
e.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y β 9 = 0 and the point (1,2).
2x ο« y ο«1 ο½ 0
3x ο« 5 y ο 9 ο½ 0
4. Equation of a line through a
point and intersection of
another two lines
e.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y β 9 = 0 and the point (1,2).
2x ο« y ο«1 ο½ 0 10 x ο« 5 y ο½ ο5
ο
3x ο« 5 y ο 9 ο½ 0 3x ο« 5 y ο½ 9
5. Equation of a line through a
point and intersection of
another two lines
e.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y β 9 = 0 and the point (1,2).
2x ο« y ο«1 ο½ 0 10 x ο« 5 y ο½ ο5 (ο)
ο
3x ο« 5 y ο 9 ο½ 0 3x ο« 5 y ο½ 9
6. Equation of a line through a
point and intersection of
another two lines
e.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y β 9 = 0 and the point (1,2).
2x ο« y ο«1 ο½ 0 10 x ο« 5 y ο½ ο5 (ο)
ο
3x ο« 5 y ο 9 ο½ 0 3x ο« 5 y ο½ 9
7x = ο 14
7. Equation of a line through a
point and intersection of
another two lines
e.g. Find the equation of the line that passes through the intersection of
2x + y + 1= 0 and 3x + 5y β 9 = 0 and the point (1,2).
2x ο« y ο«1 ο½ 0 10 x ο« 5 y ο½ ο5 (ο)
ο
3x ο« 5 y ο 9 ο½ 0 3x ο« 5 y ο½ 9
7x = ο 14
x ο½ ο2