1. Graphical Relationships
By the end of this topic, you should be able to
(a) Draw a straight line given its equation in the form y = ax + b by making a table of values

2. Plotting Points
The points (1,3), (4,3) and (6,3) all lie on the line. 1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
A has
coordinates
(1,5) a
y = 3
This is known as the equation of the line. b
B has coordinate
(3,2)

3. Lines parallel to the y axis1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
Lines parallel to the x axis
Lines parallel to the y axis
Y = 8
Y = 4
Y = 2
Y = 0
Y = -3
Y = -8
x = - 7
x = - 4
x = 5
x = 0
x = 9

4. Drawing Straight Line Graphs1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
y = 3x
y = x
x y
x y
0 
0 
3  3
2  6
-4  -4
-3  -9
y = ½x
y = 2x
x y
x y
0 
0 
8  4
3  6
4  2
-4  -8
Use grid 1 to draw 4 graphs with me.

5. x y y = x + 5 y = x + 1 x y x y y = x - 7 y = x + 2 x y x y 0  1 0 1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
y = x + 5
y = x + 1
x y
x y
0  1
0  5
3  4
3  8
-4  -3
-5 
y = x - 7
y = x + 2
x y
x y
0  -7
0  2
10  3
5  7
4  -3
-5  -3

6. x y y = 3x – 4 y = 2x + 1 x y x y y = ½x + 5 y = 2x - 5 x y x y 0  11 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
y = 3x – 4
y = 2x + 1
x y
x y
0  1
0  -4
3  7
4  8
-4  -7
-2 
-10
y = ½x + 5
y = 2x - 5
x y
x y
0  5
0  -5
8  9
6  7
-8  1
-2  -9

7. x y y = -3x + 4 y = -x x y x y y = -½x - 3 y = -2x x y x y 0  0  41 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
y = -3x + 4
y = -x
x y
x y
0 
0  4
5  -5
4  -8
-6  6
-2  10
y = -½x - 3
y = -2x
x y
x y
0  -3
0 
8  -7
3  -6
-8  1
-5  10

8. Draw the following straight line graphs1 2 3 4 5 6 7 8 9 10 -9 -8 -7 -6 -5 -4 -3 -2 -1
-10 x y
Draw the following straight line graphs
y = 2x + 3
y = 3x – 5
y = -x + 6
y = -4
x = 7
Y = ½x –2
Y = - 4x -9