Author: Stewart Gale

Straight Line Graphs and Co-ordinates

Q1.
The diagram shows a straight line, L_1, drawn on a grid.

A straight line, L_2, is parallel to the straight line L_1 and passes through 
the point (0, −5).
Find an equation of the straight line L_2.

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(Total for Question is 3 mar
Q2.
A and B are straight lines.
Line A has equation 2y = 3x + 8
Line B goes through the points (−1, 2) and (2, 8)
Do lines A and B intersect?
You must show all your working.

(Total for Question is 3 marks)
Q3.
 
The straight line L_1 passes through the points with coordinates (4, 6) and (12, 2)
The straight line L_2 passes through the origin and has gradient −3
The lines L_1 and L_2 intersect at point P.
Find the coordinates of P.

 ( ........................................ , ........................................ )
 (Total for question = 4 marks)
 Q4.

A is the point (–1, 2)
B is the point (7, 5)
(a) Find the coordinates of the midpoint of AB.

   
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(2)
P is the point (–4, 4)
Q is the point (1, –5)
(b) Find the gradient of PQ.

 
      ...............................................................................................................................
(2)
(Total for Question is 4 marks)
Q5.
 
A and B are two points.
Point A has coordinates (−2, 4). 
Point B has coordinates (8, 9).
C is the midpoint of the line segment AB.
(a)  Find the coordinates of C.

(............................................. , .............................................)
(2)

D is the point with coordinates (100, 56).
(b)  Does point D lie on the straight line that passes through A and B? 
You must show how you work out your answer.

(3)
  (Total for question = 5 marks)
Q6.
 
AB is a line segment.
The midpoint of the line segment AB has coordinates (3, 5) 
Point A has coordinates (9, 2)
(a)  Work out the coordinates of point B.

 ( ................ , ................ ) 
(2)
(b)  Work out an equation of the straight line that passes through (9, 2) and (3, 5)

 ........................................................... 
(3)
 (Total for question = 5 marks)
 Q7.
 L is a straight line.
The gradient of L is 4
L passes through the point (0, 2).
(a)  Write down an equation of the straight line L.

...........................................................
(2)

L_1 is a straight line parallel to L.
L_1 passes through the point with coordinates (2, −6)
(b)  Find an equation of L_1.

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(3)
(Total for Question is 5 marks)
Q8.

In the diagram, the points A, B and C lie on the straight line y = 2x – 1 
The coordinates of A are (2, 3). 
The coordinates of B are (5, 9). 
Given that AC = 3AB, find the coordinates of C.

 

 

 

(Total for Question is 3 marks)