Straight-Line Graphs (CIE IGCSE Additional Maths)

Solutions by accurate drawing will not be accepted.
The points  have coordinates (-2, 4) and (6,10) respectively.

Find the equation of the perpendicular bisector of the line , giving your answer in the form , where  are integers.

The point  has coordinates and lies on the perpendicular bisector of .
Find the value of .

It is given that the line  bisects the line .
Find the coordinates of .

Find the equation of the perpendicular bisector of the line joining the points (12, 1) and (4, 3), giving your answer in the form .

The perpendicular bisector cuts the axes at points  and . Find the length of .

Solutions to this question by accurate drawing will not be accepted.
The points  and  are (4, 3) and (12, −7) respectively.

Find the equation of the line , the perpendicular bisector of the line .

The line parallel to  which passes through the point (5, 12) intersects  at the point . Find the coordinates of .

The curves  and  intersect at (0, 0) and at the point . Find the equation of the perpendicular bisector of the line .

The line  meets the curve  at the points  and .

Find the coordinates of  and of .

Find the coordinates of the point where the perpendicular bisector of the line  meets the line .