CAIE IGCSE Mathematics Core C3.5 Equations of linear graphs Question Bank

Practise finding gradients, intercepts and full equations of straight-line graphs from grids, coordinates and y=mx+c notation.

Syllabus
2028–2030
Topic
C3.5
Level
Core

Exam points

  • find m from rise/run on a line drawn on a grid, then write y=mx+c
  • use y=mx+c to read the y-intercept or solve where a line crosses an axis

Covered syllabus points

C3.5.1 Interpret and obtain the equation of a straight-line graph in the form

C3.5 Equations of linear graphs question 1

[Maximum number: 2]

Question (a)

(a)
Figure for Question (a) — CAIE IGCSE Mathematics Core
[ 2 ]

Question (i)

(i)

The graph shows the cost, $ c, of travelling a distance, d kmd \mathrm{~km}, with Saanvi's Taxis.

Question (i)

(i)

Find the equation of the line.

Question (ii)

(ii)

Krishna's Taxis cost $ 5 to hire plus $ 2 for each kilometre travelled.

[ 2 ]

Question (i)

(i)

Find an equation for the cost, $ c, of travelling d kilometres with Krishna's Taxis.

c=
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