F4C5 The Straight Line - Geocities.ws · 2011. 4. 2. · Prepared by MHS 2009 MODEULE MATHEMATICS...
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Prepared by MHS 2009 MODEULE MATHEMATICS SPM: The Straight Line 1. In diagram 1, O is the origin, point R lies on the x-axis and point P lies on the y-axis. Straight line PU is parallel to the x-axis and straight line PR is parallel to straight line ST. The equation of straight line PR is x + 2y = 14. x + 2y = 14 0 S T(2, -5) R x y U P DIAGRAM 1 a) State the equation of the straight line PU. b) Find the equation of the straight line ST and hence, state its x-intercept.
Transcript of F4C5 The Straight Line - Geocities.ws · 2011. 4. 2. · Prepared by MHS 2009 MODEULE MATHEMATICS...
Prepared by MHS 2009
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1. In diagram 1, O is the origin, point R lies on the x-axis and point P lies on the y-axis.
Straight line PU is parallel to the x-axis and straight line PR is parallel to straight line ST.
The equation of straight line PR is x + 2y = 14.
x + 2y = 14
0
S
T(2, -5)
Rx
y
UP
DIAGRAM 1
a) State the equation of the straight line PU.
b) Find the equation of the straight line ST and hence, state its x-intercept.
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2. In Diagram 2, the straight line PQ is parallel to straight line RS. The equation of the straight
line PQ is 3x + y = 6.
O
y
xS
Q
R(-4, 14)
P
DIAGRAM 2
Find
a) the equation of the straight line RS,
b) the x-intercept of the straight line RS.
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3. In Diagram 3, OABC is a trapezium. The straight line AB is parallel to the straight line OC.
O
C(8, h)
B
A(2, 8)
x
y
DIAGRAM 3
Given that the gradient of the straight line OC is 43 and O is the origin, find
a) the value of h,
b) the equation of the straight line AB,
c) the x-intercept of the straight line AB.
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4. In Diagram 4, the x-intercept of the straight line QR is 6, and the straight line PQ is parallel
to the y-axis. The straight line PS is parallel to the straight line QR.
R
S
POx
yQ(2, h)
DIAGRAM 4
a) State the value of h,
b) State the equation of the straight line PQ.
c) Find the equation of the straight line PS.
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5. In Diagram 5 shows two parallel lines VW and HKG. The point V is on the y-axis and the
point K is on the x-axis.
O
y
x
G
K
H
V
W
DIAGRAM 5
The equation of VW is 5y = 4x + 25.
a) Find the coordinates of the point V.
b) If the x-intercept of the straight line HKG in 6, fins the equation of HKG.
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6. Diagram 6, O is the origin and the point Q lies on the x-axis. The straight line PQ is parallel
to the straight line ST.
x
y
TQ(-2, 0)
S(12, 6)
P(0, 3)
DIAGRAM 6
Given that the equation of the straight line QT is y + x + 2 = 0 , find
(a) the gradient of PS
(b) the equation of the straight line ST and hence state its x-intercept.
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7. In Diagram 7, straight line PQ and straight line RS are parallel.
Find
a) the equation of the straight line RS,
b) the x-intercept of the straight line RS.
DIAGRAM 7
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8. In Diagram 8, O is the origin. JK, KL and LM are straight lines. JK is parallel to LM and KL is parallel to the x-axis.
The equation of LM is 2y = x + 4.
(a) State the equation of the straight line KL.
(b) Find the equation of the straight line JK and hence, state its y-intercept.
DIAGRAM 8
2
L K
M
O x
J(3, 2)
y
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9. In Diagram 9, O is the origin. The gradient of the straight line MN is 32 . Given that straight
line PQ is parallel to straight line MN.
P
Q(9, 2)
N(6, t)
M3
Ox
y
DIAGRAM 9
Find
(a) the value of t
(b) the equation of straight line PQ
(c) the y-intercept of the straight line PQ.
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10. In Diagram 10, KL, LM and MN are three straight lines. OK is parallel to LM and KL is
parallel to MN. The equation of the straight line KL is 4x + 3y = 8.
DIAGRAM 10
Find
(a) the equation of the straight line LM.
(b) the equation of straight line MN and hence, state its y-intercept.
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11. In diagram 11, PQRS is a parallelogram. The equation of the straight line PQ is 3y = 4x –
24 and O is the origin.
DIAGRAM 11
Find
a) the value of k,
b) the y-intercept of QR
c) the equation of RS
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12. In diagram 12, OPQR is parallelogram and O is the origin.
x
y
O
Q
R(4, 12)
P(3, -6)
DIAGRAM 12
Find
a) the equation of the straight line PQ,
b) the y-intercept of the straight line QR.
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13. In Diagram 13 shoes a straight line PQ and a straight line RS drawn on a Cartesian plane.
PQ is parallel to RS.
y
xO S(2, 0)
Q
P(3, 5)
R(0, 4)
DIAGRAM 13
Find
a) the equation of the straight line PQ,
b) the x-intercept of the straight line PQ.
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14. In diagram 14, O is the origin. Straight line KL is parallel to straight line MN. The equation of
straight line KL is 2x + y = 4.
The point L and N lie on the y axis.
N
L
x
yK
O
M(-3, 7)
DIAGARM 14
Find
a) the equation of the straight line MN,
b) the x-intercept of the straight line MN.
