Cambridge International Mathematics

Straight lines (Chapter 14) 303

3 Find the equations of these lines:

abc

de f

4 Find the equation of a line with:

a gradient 2 which passes through the point(1,4)

b gradient¡ 3 which passes through the point(3,1)

c gradient^23 which passes through the point(3,0)

d gradient¡^14 which passes through the point(2,¡3)

e gradient^45 which passes through the point(10,¡4)

f gradient¡^16 which passes through the point(¡ 12 ,¡5):

5 Find the equation of a line passing through:

a (¡ 1 ,1) and (2,7) b (2,0) and (6,2) c (¡ 3 ,3)and (6,0)

d (¡ 1 ,7) and (2,¡2) e (5,2) and (¡ 1 ,2) f (3,¡1) and (3,4)

g (3,¡1) and (0,4) h (2,6) and (¡ 2 ,1) i (4,¡1) and (¡ 1 ,¡2)

j (3,4) and (¡ 1 ,¡3) k (4,¡5) and (¡ 3 ,1) l (¡ 1 ,3) and (¡ 2 ,¡2).

6 Find the equation connecting the variables given:

abc

de f

O

y

(^24) x
2
4
-2
O
y
x
-4 -2 2
-2
2
4
O
y
x
2
-2
2
4
4
O
y
(^24) x
2
(^4) O
y
x
-4 -2 2
-2
-4 O
y
-2 (^2) x
2
4
Notice the
variable on
each axis.
s
G
4
3
t O
M
4
gradientQe_
O
x
N
3
-2
O
g
H
()4 -2,
2
O
x
F
()10 ¡8,
5
O
t
P
-2 ()6 -4,
O
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Y:\HAESE\IGCSE01\IG01_14\303IGCSE01_14.CDR Friday, 26 September 2008 12:30:56 PM PETER