Coordinate Geometry (Cambridge O Level Maths)

Find the mid-point of  where and  .
Give your answer in its simplest form in terms of ,  and .
 

..................... , .....................

A is the point  and B is the point .

Find the co-ordinates of the midpoint of AB.
 

( ........................, ........................) 

Point has coordinates (5, 8)
Point has coordinates (9, –4)

Work out the gradient of .

P is the point (16, 9) and Q is the point (22, 24).

N is the point on PQ such that PN = 2NQ.
Find the co-ordinates of N.

(.................... , ....................)

and are two points.

Point  has coordinates (—2, 4).
Point  has coordinates (8, 9).

is the midpoint of the line segment .

Find the coordinates of .

 is the point with coordinates (100, 56).

Does point lie on the straight line that passes through  and ?
You must show how you work out your answer.

The points  and  lie in order on a straight line.

The coordinates of  are (2, 5)
The coordinates of  are (4, )
The coordinates of  are (, 17)

Given that , find the values of  and .

and  are straight lines.
Line has equation 
Line goes through the points  and 

Do lines and intersect?
You must show all your working.