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IB Maths AI SL 2.1 Straight lines Question Bank

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 a gradient and construct a line equation from points or a slope-intercept form.
  • Find intersections and interpret the coordinates, slope or intercept in a given context.
  • Check signs, units and substitution by testing a known point on the resulting line.

SL 2.1—Straight lines question 1

[Maximum number: 10]

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

Table for Question SL 2.1—Straight lines 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.

[ 2 ]

Question (c)

(c)

State appropriate units for the gradient.

[ 2 ]

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.

Thandizo uses linear regression to obtain a model for the data.

[ 2 ]
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