Cambridge Additional Mathematics

Straight line graphs (Chapter 7) 199

Review set 7B

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1 Find the equation of the perpendicular bisector of AB given A(¡ 2 ,3) and B(4,5).

2 The line x¡ 2 y=3meets the curve x^2 +2y^2 ¡ 2 xy+3x=8at P and Q. Find the distance

between P and Q.

3aWriteyin terms ofx.

b Hence findywhen x=8.

4 Find the equation linking the variables in each graph:

ab

5 Find the coordinates of X.

6 Find, in general form, the equation of the line passing through (¡ 5 ,¡7) and (3,¡2).

7 Consider this table of data connectingxandy: x^1234

y 2 : 5 5 : 29 8 : 13 11

a Copy and complete the following table: px

y

p

x

b Plot

y

p

x

against

p

x, and draw a straight line through the points.

c Hence writeyin terms ofx.

P,(-5 6)

Q,(-3 5)

X

R,(1 -2)

K

s

3

-5

O

2

(7 7),

r

O a

Bv

O Av_w

(1 3),

(4 -3),

4037 Cambridge

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Y:\HAESE\CAM4037\CamAdd_07\199CamAdd_07.cdr Monday, 6 January 2014 9:28:44 AM BRIAN