Coordinate Geometry
Learning Outcomes

Find the co ordinates of the mid point of a line

Be able to find the length of a line


Understand the relationship between parallel and
perpendicular lines
Be able to find the equation of a line that passes through a
given point and is parallel or perpendicular to a given line
Coordinate Geometry
1.
Find
1. The gradient of the following straight lines
2. Where each line crosses the co-ordinate axes
(a) y= 5x – 7
(b) 2y = x + 1
(c) 3y + 4x = 5
(d) 5x – 2y – 2 = 0
Coordinate Geometry
2.
Which of these lines is parallel to the line with equation 2x – 4y = 4
y = 4x – 3
3y = 6x – 3
y + 4x = 3
2y + 4x = 3
2 = 2x – y
6y = 3x + 3
Coordinate Geometry
3.
Which of these lines is perpendicular to the line with equation x – 2y = 6
y = 4x – 3
3y = 6x – 3
y + 4x = 3
2y + 4x = 3
2 = 2x – y
6y = 3x + 3
Coordinate Geometry
4.
Find the equation of the straight line which passes through (-4, 3) and is
parallel to the line y = 2x + 5
Coordinate Geometry
5.
Find the equation of the straight line which passes through (-1, -3) and
is perpendicular to the line 4x – 3y = 12
Coordinate Geometry
6.
A is the point (2,3). B is the point (5, -1).
(i) Find the coordinates of the mid-point of AB
(ii) Calculate the length AB.
Coordinate Geometry
7.
The diagram shows a cuboid with edges a = 2 units, b = 1 unit and c = 3 units
C
B
O
A
Taking O as the origin and lines a, b, c as
the axes:
(i) Write down the coordinates of the
point C;
(ii) Mark the point (1, 0, 3) labelling it Q.
(iii) Write down the coordinates of the
mid-point of line d.
(iv) Calculate the length of d
Additional Notes
Coordinate Geometry
Learning Outcomes:
At the end of the topic I will be able to
Can
Do
Revise
Further



Find the co ordinates of the mid point of a line

Be able to find the length of a line


Understand the relationship between parallel and
perpendicular lines


Be able to find the equation of a line that passes
through a given point and is parallel or perpendicular
to a given line



