Cambridge IGCSE Mathematics practice

exam practice - Determine the slope and equation of a straight line that is perpendicular to another line. For instance, calculate the slope of a line that is perpendicular to the equation 2y = 3x + 1, or find the equation of the perpendicular bisector for the segment connecting the points (-3, 8) and (9, -2). - Perpendicular lines

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Paper

Marks

Topic

Perpendicular lines

Exam-style question

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Paper 2Core or Extended Mathematics5 marks

Find the equation of the perpendicular bisector of the segment joining points (-3, 8) and (9, -2).

Description

Points: A(-3, 8) and B(9, -2).

a
Calculate the midpoint of the segment AB.
Your answer
Aim for approximately 1 distinct marking point.
[1]
b
Calculate the slope of the segment AB.
Your answer
Aim for approximately 1 distinct marking point.
[1]
c
Determine the equation of the perpendicular bisector of segment AB.
Your answer
Aim for approximately 3 distinct marking points.
[3]

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Maths method check

Topic focus: Perpendicular lines.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2Core or Extended Mathematics2 marks

Description

Consider the line with equation 2y = 3x + 1.

a
Calculate the slope of the line.
Your answer
Aim for approximately 1 distinct marking point.
[1]
b
Calculate the slope of a line perpendicular to this line.
Your answer
Aim for approximately 1 distinct marking point.
[1]