Cambridge IGCSE Mathematics practice

exam practice - Understand and derive the equation of a straight line represented as y = mx + c. Questions may involve using or identifying equations in the forms y = mx + c or x = k, determining the equation from a given graph, or finding the gradient and y-intercept from an equation, such as identifying the gradient and y-intercept from y = 6x + 3. Students should provide equations of a line in their simplest 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 Mathematics2 marks

Identifying components of a line equation.

Description

Given the equation y = -3x + 5, identify the gradient and y-intercept.

a
State What is the gradient of the line?
Your answer
Aim for approximately 1 distinct marking point.
[1]
b
State What is 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 Mathematics2 marks

Description

The graph shows a straight line that crosses the y-axis at 4 and has a gradient of 2.

a
Calculate Determine the equation of the line in the form y = mx + c.
Your answer
Aim for approximately 2 distinct marking points.
[2]