Everything Maths Grade 10

2.Determine whether the following points lie on the same straight line:

a) E(0; 3),F(2; 5),G(2; 1) b)H(3;5),I(0; 0),J(6; 10) c) K(6; 2),L(3; 1),M(1;1)

3.Calculate the equation of the lineABin the following diagram:

 2  1 1 2 3

 4

 3

 2

 1

1

2

A(1;2,5) 3

B(2;3,5)

x

y

4.Calculate the equation of the lineABin the following diagram:

 1 1 2 3 4 5

 2

 1

1

2

A(1;1)

B(4;R,8)

x

y

5.PointsP(6; 2),Q(2;2)andR(3;r)lie on a straight line. Find the value ofr.

6.LineP QwithP(1;7)andQ(q; 0)has a gradient of 1. Findq.

7.You are given the following diagram:

 3  2  1 1 2 3 4 5 6

 7

 6

 5

 4

 3

 2

 1

1

2

3

A(2;4)

B

y=x 5

x

y

Chapter 8. Analytical geometry 305