Coordinate Geometry (Edexcel GCSE Maths: Foundation): Exam Questions

is the point with coordinates .
is the point with coordinates .

The gradient of the line  is .

Work out the value of .

The point  has coordinates (2, 3).
The point  has coordinates (6, 8).

is the midpoint of the line .
Find the coordinates of .

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

Work out the gradient of .

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

Work out the coordinates of the midpoint of .

Line  has equation 
Write down the gradient of line .

is (2, 13) and is (10, 1)

Choose the midpoint of .

is (4, 9) and  is (–2, 1)
Choose the midpoint of .

Work out the gradient of the straight line through (–2, 3) and (1, 9)

The coordinates ,  and  are such that  is a straight line.

The coordinates of  are 

The coordinates of  are 

Given that , find the coordinates of .

Find the gradient of the straight line with equation  .

The diagram shows an octagon

and are lines of symmetry.

Work out the coordinates of point .

A straight line is drawn on the centimetre grid.

Fay assumes that the scale is 1 cm represents 1 unit.

Use her assumption to work out the gradient of the line.

In fact, the scale is 1 cm represents 2 units.

Which statement is correct? Tick one box.

     The answer to part (a) is too big

       The answer to part (a) stays the same

       The answer to part (a) is too small

is the point (—1, 2)
is the point (7, 5)

Find the coordinates of the midpoint of .

 is the point (—4, 4)
is the point (1, —5)

Find the gradient of .

Point has coordinates (5, 7).
Point has coordinates (1, 2.5).

Point is the midpoint of the line .

Find the coordinates of point .

Point has coordinates
Point  has coordinates
The midpoint of  has coordinates 

Find the value of  and the value of .

a = ................................................ 
b = ................................................