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Point Slope Formula
Point Slope Formula 1 1y y m x x
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6)
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
33 2
4y x
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
33 2
4y x
4 12 3 6
3 4 6 0
y x
x y
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
33 2
4y x
4 12 3 6
3 4 6 0
y x
x y
OR
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
33 2
4y x
4 12 3 6
3 4 6 0
y x
x y
OR 3 4 0x y k
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
33 2
4y x
4 12 3 6
3 4 6 0
y x
x y
OR 3 4 0x y k 2, 3 : 3 2 4 3 0k
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
33 2
4y x
4 12 3 6
3 4 6 0
y x
x y
OR 3 4 0x y k 2, 3 : 3 2 4 3 0k
6 0
6
k
k
Point Slope Formula 1 1y y m x x
e.g. (i) Find the equation of the line passing through (–3,4) and (2,–6) 4 63 2
1052
m
4 2 3y x 4 2 6
2 2 0
y x
x y
(ii) Find the equation of the line passing through (2,–3) and is parallel to 3x + 4y – 5 =0
3 54 4
y x
3required
4m
33 2
4y x
4 12 3 6
3 4 6 0
y x
x y
OR 3 4 0x y k 2, 3 : 3 2 4 3 0k
6 0
6
k
k
3 4 6 0x y
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
60 0
60
k
k
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
60 0
60
k
k
4 9 60 0x y
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
60 0
60
k
k
4 9 60 0x y
To prove three lines (l, m, n) are concurrent;
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
60 0
60
k
k
4 9 60 0x y
To prove three lines (l, m, n) are concurrent;
( ) solve and simultaneouslyi l m
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
60 0
60
k
k
4 9 60 0x y
To prove three lines (l, m, n) are concurrent;
( ) solve and simultaneouslyi l m
( ) substitute point of intersection into ii n
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
60 0
60
k
k
4 9 60 0x y
To prove three lines (l, m, n) are concurrent;
( ) solve and simultaneouslyi l m
( ) substitute point of intersection into ii n
( ) if it satisfies the equation, then the lines are concurrentiii
(ii) Find the equation of the line passing through (6,4) and is perpendicular to 9x – 4y + 6 =0
9 64 4
y x
4required
9m
44 6
9y x
9 36 4 24
4 9 60 0
y x
x y
OR 4 9 0x y k 6,4 : 4 6 9 4 0k
60 0
60
k
k
4 9 60 0x y
To prove three lines (l, m, n) are concurrent;
( ) solve and simultaneouslyi l m
( ) substitute point of intersection into ii n
( ) if it satisfies the equation, then the lines are concurrentiii
Exercise 5D; 1e, 2c, 4abc (i), 5b, 7d, 9, 11, 13, 15, 17ab (i),18ab (ii), 19, 22, 23c, 26*