2. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
3. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
4. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
5. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
6. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
7. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0
8. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0 (general form)
9. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0 (general form)
Note: A, B, C are integers or surds
10. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0 (general form)
Note: A, B, C are integers or surds
e.g. Find the equation of the line perpendicular to y = 5x – 2 , passing
through (0,6) in general form.
11. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0 (general form)
Note: A, B, C are integers or surds
e.g. Find the equation of the line perpendicular to y = 5x – 2 , passing
through (0,6) in general form.
1
required m
5
12. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0 (general form)
Note: A, B, C are integers or surds
e.g. Find the equation of the line perpendicular to y = 5x – 2 , passing
through (0,6) in general form. 1
y x6
1 5
required m
5
13. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0 (general form)
Note: A, B, C are integers or surds
e.g. Find the equation of the line perpendicular to y = 5x – 2 , passing
through (0,6) in general form. 1
y x6
1 5
required m 5 y x 30
5
14. Equation of Lines
(Linear Function)
All straight lines can be written in the form;
y mx b
m slope
b y intercept
OR
Ax By C 0 (general form)
Note: A, B, C are integers or surds
e.g. Find the equation of the line perpendicular to y = 5x – 2 , passing
through (0,6) in general form. 1
y x6
1 5
required m 5 y x 30
5
x 5 y 30 0
19. Note: lines parallel to the x axis (y = c)
y
3, 2
x
y2
lines parallel to the y axis (x = k)
20. Note: lines parallel to the x axis (y = c)
y
3, 2
x
y2
lines parallel to the y axis (x = k)
y
x
21. Note: lines parallel to the x axis (y = c)
y
3, 2
x
y2
lines parallel to the y axis (x = k)
y
3, 2
x
22. Note: lines parallel to the x axis (y = c)
y
3, 2
x
y2
lines parallel to the y axis (x = k)
y
3, 2
x
x3
23. Note: lines parallel to the x axis (y = c)
y
3, 2
x
y2
Exercise 5C; 1b, 3cf, 4a,
5d, 6df, 8df, 10b,
11c, 12
lines parallel to the y axis (x = k)
y
3, 2
x
x3