maths spm paper 1 topikal

1. Modul ENRICHMENT Matematik SPM 2014
Tajuk: The Straight Line
Garis Lurus
Masa: 20 minit

2. TAJUK: The Straight Line/ Garis Lurus
1. In Diagram 1, MN is a straight line.
Dalam Rajah 1, MN ialah sebuah garis lurus.
Find the gradient of MN.
Cari kecerunan garis MN
A -2
B
C
−
D 2
2. Given that the equation of a straight line is x – 2y + 3 = 0. Find the x-intercept of
the straight line.
Diberi persamaan garis lurus ialah x – 2y + 3 = 0. Cari pintasan-x bagi garis lurus
tersebut
A −1
B −2
C −3
D −4
3. In Diagram 2, the length of OC is 2 units.
Dalam rajah 2, panjang OC ialah 2 unit.
The gradient of line BC is
Diagram 1
Rajah 1
R
a
j
a
h
1
Diagram 2
Rajah 2
R
a
j
a
h
1

3. Kecerunan garis BC ialah
A 3
B 4
C −4
D −3
4. Based on Diagram 3, find the equation of line PR.
Berdasarkan rajah 3, Cari persamaan garis PR
A y = -x – 6
B y = -x + 6
C y = x + 6
D y = x – 6
5. In Diagram 4, the equation of the line WZ is y = x.
Q (8, k) is a point on the line WZ.
Dalam rajah 4, persamaan garis WZ ialah WZ is y = x.
Q (8, k) ialah satu titik pada garis WZ.
Find the value of k.
Cari nilai bagi k.
A 6
B 7
C 8
D 9
Diagram 3
Rajah 3
R
a
j
a
h
1
Diagram 4
Rajah 4
R
a
j
a
h
1

4. 6. The equation of a straight line passing through the point ( -3, 8 ) and parallel to
the line y = x + 5 is
Persamaan garis lurus yang melalui titik ( -3, 8 ) dan selari dengan garis y = x + 5 is
ialah
A y = x + 8
B 3y = 2x + 10
C 3y = 2x + 30
D y = x -3
7. In Diagram 5, OE = OG. Find the gradient of line EG.
Dalam rajah 5, OE = OG. Cari kecerunan garis EG.
A 1
B −1
C 2
D −2
8. The coordinates of point P are (-2, 5), and the gradient of the straight line PQ is 3. The
coordinates of point Q could be
Koordinat bagi P ialah (-2, 5), dan kecerunan garis lurus PQ ialah 3. Koordinat yang
mungkin bagi Q ialah
A (1, 1)
B (5, 1)
C (−1, 8)
D (−5, 4)
Diagram 5
Rajah 5
R
a
j
a
h
1

5. 9. The y-intercept of the straight line 4y = 3 – 2x is
Pintasan-y bagi garis 4y = 3 – 2x ialah
A
B −
C −
D
10. In Diagram 7, the length of OP is 10 units. The equation of line PR is
Dalam rajah 7, panjang OP ialah 10 unit. Persamaan garis PR ialah
A y = x + 8
B y = x + 8
C y = x + 4
D y = x + 4
Diagram 7
Rajah 7
R
a
j
a
h
1

6. ANSWER/ Jawapan
The Straight Line/ Garis Lurus
1. Gradient/ Kecerunan MN
m = −
= −
= − Answer/ Jawapan : C
2. – 2 + 3 =0, at -intercept , the value of =0 / Pada pintasan- , nilai of =0
–2(0)+3 =0
=− 3
Answer/ Jawapan : C
3. B (0,6) c(2,0)
Gradient/ Kecerunan BC
= −
= −3
Answer/ Jawapan : D
4. R ( , ) = (−2, -8), P ( , ) = (8, 2),
m =
=
=
m = 1
= m +c
c = 2 – 8
= −6
= – 6, Answer/ Jawapan : D
5. Q ( 8, k)
=
k = (8)
= 6 , Answer/ Jawapan : A

7. 6. Passing through (-3, 8) and parallel with = + 5
So, m =
= m +c
8 = (−3)+ c
8 = −2 + C
C = 10
Then, = + 10
= + 30, Answer/ Jawapan : C
7. m = −
m = − 1
Answer/ Jawapan : B
8. m =
=
=
Therefore, the coordinates of point Q = (-1, 8)
Answer/ Jawapan : C
9. = , at -intercept, the value of / pada pintasan- , nilai = 0
=
=
=
Answer/ Jawapan : A
10. R ( , ) = (0, - 8), P ( , ) = (10, 0),
m =
= −
=
=−
= m +c
Then, =− + 8
Answer/ Jawapan : B