Question 1: The Gradient
a) 
Plot the following lines on the same set of
axes.

b) 
State the gradient of each line.What part of the equation is
related to the line’s gradient?
c) 
(i) Which line has the steepest gradient?
(ii) Which line has the least steep
gradient?
(iii) How does the gradient affect the
steepness of a line?
Question 2: The y intercept.
a) 
Plot the following lines on the same set of axes
given below:

b) 
Read off the y intercept for each line. Fill in
the table.
  What part of the
equation is related to the line’s y intercept?
Question 3
The graph shows y=2x-1 and y=2x+6
a) 
In the table give the gradient and y intercept
for each line.b) 
Draw in y=2x+3 on the graph.
c) 
What can you say about the lines
that have the same gradient?
d) 
The graph shows y=-2x+4
Draw y=2x+4 on the graph.
Gradient=?
Y intercept=?
Question 4
The cost of making batches of plastic parts is given by the equation:
Cost (in $’000)=2×number of batches+10
C=2n+10
a) 
Up to 50 batches are made. Draw a graph of cost
by plotting a few points.
b) 
Work out the cost of making 21 batches.
c) 
What cost has to be covered even if no batches
are made?
Question 5
Fill in the tables, plot the
points and connect them to graph the line.

a)  b) 
Question 6
Graph the following equations by finding the x and y intercepts
a) 
y=4x-6
b) 
y=-3x+2
Question 7
Find the equations of the following straight lines:
a) 
Gradient-3,passing through(4,5)
b) 
Passing through(-1,-8)and(2,10)
c) 
Gradient 5,passing through(1,-4)
d) 
Passing through(-6,4) and (2,0)




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