Linear Graphs (CIE IGCSE Maths: Extended)

The equation of line L is 

i)

Find the gradient of line L.
 

[2]

ii)

Find the coordinates of the point where line L cuts the -axis.
 

( ................... , ................... ) [1]

Write down the function shown in the graph.

..............................................

The diagram shows a straight line .

Find the equation of line .

Find the equation of the line perpendicular to line that passes through .

Write down the equation of the line parallel to line  that passes through the point B.

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

The point P has co-ordinates  and the point Q has co-ordinates 
 
Find

i)

the co-ordinates of the mid-point of the line PQ,
 

(....................... , .......................) [2]

ii)

the gradient of the line PQ,
 

 [2]

Find the equation of a line perpendicular to PQ that passes through the point 

A rhombus has a diagonal where is the point  and C is the point 

Find the equation of the line

C is the point (8, 14).

Write down the equation of the line perpendicular to line that passes through the point C.

A straight line joins the points (-2, -3) and (1, 9).

Find the equation of the line in the form .
 

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

is a kite, where is the longer diagonal of the kite.
is the point (3.5, 2).

The coordinates of P are  and the coordinates of Q are .

The coordinates of P are  and the coordinates of Q are .

Figure 1

The line  has equation 
Find the gradient of .

The line crosses the x-axis at the point A and the y-axis at the point B, as shown in Figure 1.

The line is perpendicular to and passes through B.

Find an equation of .

The line crosses the -axis at the point C.

Find the area of triangle ABC.