Cambridge IGCSE Mathematics practice

exam practice - Interpret and derive the equation of a straight line from various forms, such as ax + by = c and y = mx + c, as well as from a given graph. This includes determining the gradient and y-intercept from an equation, for example, finding the gradient and y-intercept for the equation 5x + 4y = 8. Ensure that equations of a line are presented in fully simplified form. - Equations of linear graphs

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At a glance

Paper

Marks

Topic

Equations of linear graphs

Exam-style question

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Paper 2Core or Extended Mathematics3 marks

Given the equation of a line 5x + 4y = 8.

Description

The equation of a straight line is given as 5x + 4y = 8.

a
Calculate the gradient of the line.
Your answer
Aim for approximately 2 distinct marking points.
[2]
b
Calculate the y-intercept of the line.
Your answer
Aim for approximately 1 distinct marking point.
[1]

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Maths method check

Topic focus: Equations of linear graphs.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2Core or Extended Mathematics4 marks

Description

Points A and B lie on a straight line. A has coordinates (2, 5) and B has coordinates (6, 1).

a
Calculate the gradient of the line passing through points A and B.
Your answer
Aim for approximately 1 distinct marking point.
[1]
b
Determine the equation of the line in the form y = mx + c.
Your answer
Aim for approximately 3 distinct marking points.
[3]