Everything Maths Grade 10

15.You are given the following diagram:

 4  3  2  1 1 2 3 4 5 6

 5

 4

 3

 2

 1

1

A(3; 0)

B(5;y)

x

y

You are also told that lineABhas the following equation:y=0,5x1,5.

Calculate the missing co-ordinate of pointB.

16.You are given the following diagram:

 3  2  1 1 2 3

 3

 2

 1

1

2

3

4

A(2;2,5)

B(1;3,5)

M(x;y)

x

y

Calculate the coordinates of the mid-point (M) between pointA( 2 ;2,5)and pointB( 1 ;3,5)correct

to 1 decimal place.

17.A(2; 3)andB(2; 6)are points in the Cartesian plane.C(a;b)is the mid-point ofAB. Find the values

ofaandb.

18.Determine the equations of the following straight lines:

a)passing throughP(5; 5)andQ(2; 12).

b)parallel toy= 3x+ 4and passing through(4; 0).

c)passing throughF(2; 1)and the mid-point ofGHwhereG(6; 3)andH(2;3).

320 8.5. Chapter summary