LOGO ADDITIONAL MATHEMATICS

FORM 4

ADDITIONAL MATHEMATICS

FORM 4 COORDINATE GEOMETRY

COORDINATE GEOMETRY

6.4 EQUATION OF STRAIGHT LINE 6.4 EQUATION OF STRAIGHT LINE

LOGO

6.4 6.4 EQUATION OF STRAIGHT LINEEQUATION OF STRAIGHT LINE

6.4.3

Finding the gradient of straight line usingX-intercept and y-intercept

6.42

Finding the gradient of a straight line

6.4.2

6.4.1

Determining x-intercept and y-intercept

LOGO

The x-intercept of a straight line is the x-coordinate where the Straight Line crosses the x-axis.

DefinitionX-INTERCEPT Y-INTERCEPT

The y-intercept of a straight line is the y-coordinate where line crosses the y-axis.

6.4.1 Determining the x-intercept and y-intercept

x

y

y-intercept

x-intercept

The x-intercept of a straight line

is the x-coordinate where the Straight Line crosses the x-

axis

The y-intercept of a straight line is the y-coordinate where line

crosses the y-axis.

LOGO

8

6

4

2

-2

-4

-6

-8

-10 -5 5 10

P

A

BK

LMJQGE

F

H

C

T

SN D R

I

O

LOGO

Gradient is a quantity which measure how step a straight line is sloping with reference to the horizontal

The gradient of a straight line is the ratio of vertical distance tohorizontal distance

Gradient:

Gradient = Vertical line Horizontal line

@ m = y2-y1

x2-x1

6.4.2 Find the gradient of a straight line

1 32

A (x1,y1)Horizontal distance

B (x2,y2)

verticaldistance

y

x

Gradient = Vertical line Horizontal line

m = y2-y1

x2-x1

gradient of a straight line is the ratio of vertical distance tohorizontal distance

LOGO

14

12

10

8

6

4

2

5 10 15 20

D

E

CB

A

LOGO

LOGO

x

y

y-intercept

x-intercept

m = y2-y1

x2-x1

Gradient = Vertical line Horizontal line

RECALL PREVIOUS SUBTOPIC

LOGO

y

x

(0,b)

(a,0)

M

N

m = - y intercept x-intercept

6.4.3 Finding the gradient of a straight line by using x-intercept and y-intercept

LOGO

x

y

y-intercept

x-intercept

Determining x-intercept and y-intercept

Finding the gradient of a straight line

Finding the gradient of straight line usingX-intercept and y-intercept

Gradient = Vertical line Horizontal line

m = y2-y1

x2-x1

m = - y intercept x-intercept

LOGO

Have a nice day..