Graphs and Equations
4) Write down the equation of each line labelled a to f.
1) a) Draw a coordinate grid with x-values from -5 to 5
and y-values from -5 to 5.
a
b
6
5
4
3
2
1
b) Plot the following points and join them up in
alphabetical order to make a quadrilateral.
A(-2, 3)
B( 3, 3)
C(4, -2)
D(-4, -2)
c) Name the quadrilateral.
2) a) Copy and complete the table below for the graph of
the straight line given by the equation y=2x-4
x
-2 -1 0 1 2
y
c
0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
d
e
-6
y=x
Coordinates
6
5
4
3
2
1
b) Copy the axis below and draw the graph of y=2x-4.
f
0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
y
6
5
4
3
2
1
0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1
-1
-2
-3
-4
-5
-6
x
x
x
5) Find the gradient of each line.
c
a
b
d
3) a) Draw a coordinate grid with x-values from -4 to 4
and y-values from -5 to 8.
b) Copy and complete the table below for the graph of
the curve given by the equation y=x2-3.
x
-3 -2 -1 0 1 2 3
x2
4
1
2
x -3
1
-2
6) For each equation write down the gradient and the y
intercept.
a) y=3x-4
b) y=7-2x
7) Find the gradient of the line joining A(1, 2) to B(3, 6)
c) Use the values in the table to draw the graph of y=x2-3.