Linear Graphs (CIE IGCSE Maths: Extended)

A straight line, , has equation .

Find the coordinates of the point where line  crosses the -axis.
 

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

A line perpendicular to line  has gradient .
 
Find the value of .
 

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Sketch the graph of the function.

Find the gradient of a line that is perpendicular to .

Line L passes through the points and .

Find the equation of line L.

A line from the point (2, 3) is perpendicular to the line .
The two lines meet at the point .

Find the coordinates of .

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

is the point  and  is the point .
Find the equation of the line perpendicular to  that passes through the point .
Give your answer in the form .

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Find the equation of the line that is perpendicular to the line and passes through the point

A is the point  and B is the point .

Find the equation of the line through A that is perpendicular to AB.
Give your answer in the form .
 

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The diagram shows the points C(–1, 2) and D(9, 7).

Find the equation of the line perpendicular to CD that passes through the point (1, 3).
Give your answer in the form  .
 

= ...............................................

The line PQ has equation and point P has co-ordinates (6, 10).

Find the equation of the line that passes through P and is perpendicular to PQ.
Give your answer in the form .

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P is the point (16, 9) and Q is the point (22, 24).

Find the equation of the line perpendicular to PQ that passes through the point (5, 1).
Give your answer in the form .

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