Everything Maths Grade 10

12.You are given the following diagram:

 3  2  1 1 2 3

 2

 1

1

2

3

4

A(2;1)

B

x

y

You are also told that lineABruns parallel to the following line:y=x 2.

Calculate the missing co-ordinate of pointB(x; 3).

13.You are given the following diagram:

 2  1 1 2

 5

 4

 3

 2

 1

1

A(1;4)

B(1;y)

x

y

You are also told that lineABruns perpendicular to the following line:y=0,5x2.

Calculate the missing co-ordinate of pointB.

14.The graph here shows line,AB. The blue dashed line is perpendicular toAB.

 6  5  4  3  2  1 1 2

 3

 2

 1

1

2

3

A( 5 ;j,8) 4

B

x

y

The equation of the blue dashed line isy=x+0,5. PointAis at( 5 ;3,5).

Determine the equation of lineAB.

Chapter 8. Analytical geometry 319