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IB Maths AI SL 2.1 Straight Lines Questions

Practise IB Maths AI SL 2.1 through questions on gradient, intercepts, point-slope form, intersections and line interpretation.

Syllabus
First assessment 2021
Course
Mathematics: applications and interpretation SL
Level
SL

Exam points

  • Calculate gradient and intercepts and construct or rearrange a straight-line equation from points, a graph or a stated form.
  • Use equal gradients to establish parallel lines and the negative-reciprocal condition to establish perpendicular lines.
  • Find intersections or unknown line parameters by solving simultaneous linear equations and interpret the resulting coordinates.
  • Check the line model by substitution, diagram geometry, domain, units and the meaning of the slope or intercept in context.

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Study SL 2.1—Straight lines conceptsOpen the corresponding Concept lesson for explanations, examples and exam connections.

IB Maths AI SL 2.1 Straight Lines Questions question 1

[Maximum number: 8]

The mean annual temperatures for Earth, recorded at fifty-year intervals, are shown in the table.

Table for Question IB Maths AI SL 2.1 Straight Lines Questions question 1 — IB Maths AI SL

Tami creates a linear model for this data by finding the equation of the straight line passing through the points with coordinates (1708,8.73) and (1958,9.45).

Question (a)

(a)

Calculate the gradient of the straight line that passes through these two points.

[ 2 ]

Question (b)

(b)

Interpret the meaning of the gradient in the context of the question.

[ 1 ]

Question (c)

(c)

State appropriate units for the gradient.

[ 1 ]

Question (d)

(d)

Find the equation of this line giving your answer in the form y=m x+c.

[ 2 ]

Question (e)

(e)

Use Tami's model to estimate the mean annual temperature in the year 2000.

[ 2 ]
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