Everything Maths Grade 10

You are also told that lineABruns parallel to the following line:y=x5. PointAis at(2;4).

Find the equation of the lineAB.

8.You are given the following diagram:

 2  1 1 2 3 4 5 6

 3

 2

 1

1

2

3

4

5

6

A(1;2,5)

B

y=x+4,5

x

y

You are also told that lineABruns parallel to the following line:y=x+4,5. PointAis at(1;2,5).

Find the equation of the lineAB.

9.Given lineABwhich runs parallel toy=0,5x6. PointsA(1;2,5)andB(x; 0)are also given.

Calculate the missing co-ordinate of pointB.

10.Given lineABwhich runs parallel toy=1,5x+4. PointsA( 2 ; 4 )andB(2;y)are also given.

Calculate the missing co-ordinate of pointB(2;y).

11.The graph here shows lineAB. The blue dashed line is perpendicular toAB.

 3  2  1 1 2 3 4 5

 2

 1

1

2

3

4

5

A( 2 ;4)

B

x

y

The equation of the blue dashed line isy=x+ 1. PointAis at(2; 4).

Determine the equation of lineAB.

12.The graph here shows lineAB. The blue dashed line is perpendicular toAB.

306 8.3. Gradient of a line