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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