CAIE IGCSE Mathematics Core C3.5.1 Interpret & obtain the equation of a straight-line graph in the form

Practise interpreting straight-line graphs by finding gradients, intercepts, axis crossings and equations in the form y=mx+c.

Syllabus
2028–2030
Objective
C3.5.1
Level
Core

Exam points

  • calculate the gradient from a grid or two points, then complete y=mx+c
  • read or calculate the y-intercept and x-intercept from a given line equation
  • use a point on the line to find c when the gradient is already known

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