Equation of Lines (Linear Function)

Equation of Lines (Linear Function)

All straight lines can be written in the form;

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C (general form)

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C (general form)Note: A, B, C are integers or surds

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C (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.

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C (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.

1required

5m

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C (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.

1required

5m

16

5y x

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C (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.

1required

5m

16

5y x

5 30y x

Equation of Lines (Linear Function)

All straight lines can be written in the form;

y mx b slopem

interceptb y

OR

0Ax By C (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.

1required

5m

16

5y x

5 30y x 5 30 0x y

Note: lines parallel to the x axis (y = c)

Note: lines parallel to the x axis (y = c)y

x

Note: lines parallel to the x axis (y = c)y

x

3,2

Note: lines parallel to the x axis (y = c)y

x

3,2

2y

Note: lines parallel to the x axis (y = c)y

x

3,2

2y

lines parallel to the y axis (x = k)

Note: lines parallel to the x axis (y = c)y

x

3,2

2y

lines parallel to the y axis (x = k)y

x

Note: lines parallel to the x axis (y = c)y

x

3,2

2y

lines parallel to the y axis (x = k)y

x

3,2

Note: lines parallel to the x axis (y = c)y

x

3,2

2y

lines parallel to the y axis (x = k)y

x

3,2

3x

Note: lines parallel to the x axis (y = c)y

x

3,2

2y

lines parallel to the y axis (x = k)y

x

3,2

3x

Exercise 5C; 1b, 3cf, 4a,5d, 6df, 8df, 10b,

11c, 12