Everything Maths Grade 10

• If two lines are parallel, their gradients are equal.


• If two lines are perpendicular, the product of their gradients is equal to1.


• For horizontal lines the gradient is equal to 0.


• For vertical lines the gradient is undefined.


• The formula for finding the mid-point between two points is:

M(x;y) =

(

x 1 +x 2

2

;

y 1 +y 2

2

)

End of chapter Exercise 8 – 6:

1.You are given the following diagram, with various points shown:

 8  6  4  2 2 4 6 8

 8

 6

 4

 2

2

4

6

8

E

C

B

D

A

x

y

Find the coordinates of pointsA,B,C,DandE.

2.You are given the following diagram, with various points shown:

 8  6  4  2 2 4 6 8

 6

 4

 2

2

4

6

E

C

B

A

D

x

y

Which point lies at the coordinates(3;5)?

Chapter 8. Analytical geometry 315