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Prepared by MHS 2009
MMOODDEEUULLEE MMAATTHHEEMMAATTIICCSS SSPPMM:: TThhee SSttrraaiigghhtt LLiinnee
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.
Prepared by MHS 2009
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.
Prepared by MHS 2009
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.
Prepared by MHS 2009
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.
Prepared by MHS 2009
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.
Prepared by MHS 2009
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.
Prepared by MHS 2009
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
Prepared by MHS 2009
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
Prepared by MHS 2009
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.
Prepared by MHS 2009
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.
Prepared by MHS 2009
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
Prepared by MHS 2009
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.
Prepared by MHS 2009
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.
Prepared by MHS 2009
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.