Coordinate Geometry (Cambridge O Level Maths)

Find the midpoint of .

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

The point  has coordinates (5, −4)
The point  has coordinates (13, 1)

Work out the coordinates of the midpoint of .

Find the gradient of the straight line with equation 

Line  has equation 

Write down the gradient of line .

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.