This document contains a 10 question math test on straight lines and gradients. It includes diagrams of straight lines and points and asks students to find gradients, intercepts, equations of lines, and values of unknown points. Some key details are: - It covers topics like finding gradients, intercepts, equations of lines, and using linear equations to find unknown values - There are 10 multiple choice questions testing these concepts - Diagrams are provided with each question to visually represent the straight lines and points involved in the problem

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