Straight-Line Graphs | Cambridge O Level Additional Maths Topic Questions 2025

1a

4 marks

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

Find the equation of the perpendicular bisector of the line $A B$ , giving your answer in the form $a x + b y + c = 0$ , where $a, b and c$ are integers.

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1b

1 mark

The point $C$ has coordinates $(5, p)$ and lies on the perpendicular bisector of $A B$ .
Find the value of $p$ .

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1c

2 marks

It is given that the line $A B$ bisects the line $C D$ .
Find the coordinates of $D$ .

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1

4 marks

Variables $x$ and $y$ are such that, when $\sqrt[4]{y}$ is plotted against $\frac{1}{x}$ , a straight line graph passing through the points (0.5, 9) and (3, 34) is obtained. Find $y$ as a function of $x$ .

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1a

4 marks

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

Find the equation of the line $L$ , the perpendicular bisector of the line $A B$ .

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1b

4 marks

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

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Straight-Line Graphs (Cambridge O Level Additional Maths)

Topic Questions