Cambridge Additional Mathematics

Straight line graphs (Chapter 7) 181 Example 5 Self Tutor Find the equation connecting the variables. (0,2) and (4,8) lie on the ...

182 Straight line graphs (Chapter 7) b The line cuts thex-axis when y=0 ) 3 x¡2(0) =¡ 3 ) x=¡ 1 ) the line cuts thex-axis at (¡ ...

Straight line graphs (Chapter 7) 183 EXERCISE 7A.2 1 Consider the points P(¡ 3 ,7) and Q(1,¡5). Find: a the distance between P a ...

184 Straight line graphs (Chapter 7) 2 Linel 1 has equation y=2x+7. Linel 2 passes through (¡ 7 ,6) and (3,0). a Find the equati ...

Straight line graphs (Chapter 7) 185 b The length of AB= p (1¡¡4)^2 +(1¡6)^2 = p 50 = 5 p 2 units The length of DC= p (2¡¡7)^2 + ...

186 Straight line graphs (Chapter 7) To find where a straight line intersects a curve, we first rearrange the equation of the li ...

Straight line graphs (Chapter 7) 187 EXERCISE 7C 1 Find the points where the line x¡ 2 y=3intersects the curve x^2 +y^2 =5. 2 Th ...

188 Straight line graphs (Chapter 7) Example 12 Self Tutor Findyin terms ofx: ab a The graph ofyagainstx^3 is linear. The gradie ...

Straight line graphs (Chapter 7) 189 EXERCISE 7D 1 Findyin terms ofx: abc de f 2 For each of the following relations: i findyin ...

190 Straight line graphs (Chapter 7) Example 14 Self Tutor Writeyin terms ofx, giving your answer in the form y=a£ 10 bx, where ...

A linear relationship between and indicates a power relationship between and. lgyxlg yx O x lgy (3 2), (15 6), O lgy lgx (3 8), ...

9 O lgK lg 7 ( 81lg lg, 63) lgt O x 3 (5 20), y lgy O lgx 192 Straight line graphs (Chapter 7) a b 10 Graph A Graph B The relati ...

0 1 2 3 4 5 6 7 1750 1800 1850 1900 1950 2000 2050 year,x populationP(billions) “”Best fit line exponential model 0 0.5 1 1.5 2 ...

194 Straight line graphs (Chapter 7) Example 16 Self Tutor Consider this table of data connectingxandy: x^1234 y 3 : 5 10 22 : 5 ...

Straight line graphs (Chapter 7) 195 2 This table shows experimental data values forxandy: x 1 2 3 4 y 9 9 : 90 10 : 97 12 a Cop ...

196 Straight line graphs (Chapter 7) Example 17 Self Tutor x 1 2 3 4 y 14 10 10 11 This table shows experimental data values for ...

#endboxedheading Straight line graphs (Chapter 7) 197 8 A stone is dropped from the top of an 80 m high cliff. This table shows ...

198 Straight line graphs (Chapter 7) 5 Find the point of intersection of the lines x¡ 2 y=5and 4 x+3y=9. 6 ABCD is a trapezium i ...

Straight line graphs (Chapter 7) 199 Review set 7B #endboxedheading 1 Find the equation of the perpendicular bisector of AB give ...

200 Straight line graphs (Chapter 7) 8 Consider the points (a,0) and (0,b). a Find the equation of the straight line through the ...