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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.
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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
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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
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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
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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..