Unit 2: Functions
Topic 2.1: Linear Functions Questions
Practice 20 exam-style questions for IB Math AA SL Topic 2.1. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Write down1 mark
2026• Aimnova practice — 2.1.2
Write down the gradient of a line parallel to y = −2x + 9.
Markscheme and model answer locked
Unlock Question2Find2 marks
2026• Aimnova practice — 2.1.1
Find the gradient of the line passing through A(−1, 3) and B(2, 12).
Markscheme and model answer locked
Unlock Question3Write down1 mark
2026• Aimnova practice — 2.1.1
A line has gradient 4 and y-intercept −7. Write down its equation in the form y = mx + c.
Markscheme and model answer locked
Unlock Question4Find2 marks
2026• Aimnova practice — 2.1.3
Find the gradient of a line perpendicular to y = (3/4)x + 1.
Markscheme and model answer locked
Unlock Question5Find3 marks
2026• Aimnova practice — 2.1.4
Find the perpendicular bisector of A(0, 5) and B(4, −3).
Markscheme and model answer locked
Unlock Question6Find2 marks
2026• Aimnova practice — 2.1.4
Find the perpendicular bisector of P(−3, 2) and Q(5, 2).
Markscheme and model answer locked
Unlock Question7Find2 marks
2026• Aimnova practice — 2.1.2
Find the equation of the line through (1, 4) parallel to y = 2x + 7, giving your answer as y = mx + c.
Markscheme and model answer locked
Unlock Question8Find4 marks
2026• Aimnova practice — 2.1.4
Find the perpendicular bisector of (1, 3) and (5, 1), giving your answer in the form ax + by + d = 0.
Markscheme and model answer locked
Unlock Question9Find2 marks
2026• Aimnova practice — 2.1.1
Find the equation of the line through (2, −1) with gradient 3, giving your answer in the form y = mx + c.
Markscheme and model answer locked
Unlock Question10Find3 marks
2026• Aimnova practice — 2.1.1
Find where the line y = (3/4)x − 6 crosses (a) the y-axis and (b) the x-axis.
Markscheme and model answer locked
Unlock Question11Find3 marks
2026• Aimnova practice — 2.1.1
The line through (0, 5) and (k, 11) has gradient 2. Find the value of k.
Markscheme and model answer locked
Unlock Question12Find3 marks
2026• Aimnova practice — 2.1.3
Find the equation of the line through (4, 1) perpendicular to y = 2x − 3.
Markscheme and model answer locked
Unlock Question13Find4 marks
2026• Aimnova practice — 2.1.1
Find the equation of the line through P(1, 5) and Q(4, −4), giving your answer in the form ax + by + d = 0.
Markscheme and model answer locked
Unlock Question14Find4 marks
2026• Aimnova practice — 2.1.1
A line passes through (−2, 7) and (4, −5). (a) Find its gradient. (b) Hence find its equation in the form y = mx + c.
Markscheme and model answer locked
Unlock Question15Find3 marks
2026• Aimnova practice — 2.1.1
A line is given by 2x − 5y + 10 = 0. (a) Find its gradient. (b) Find its y-intercept.
Markscheme and model answer locked
Unlock Question16Find4 marks
2026• Aimnova practice — 2.1.4
Find the equation of the perpendicular bisector of A(1, 1) and B(7, 9).
Markscheme and model answer locked
Unlock Question17Find4 marks
2026• Aimnova practice — 2.1.4
Triangle ABC has A(2, 1) and B(8, 5). (a) Find the midpoint M of AB. (b) Find the equation of the perpendicular bisector of AB.
Markscheme and model answer locked
Unlock Question18Find4 marks
2026• Aimnova practice — 2.1.4
A point R is equidistant from A(1, 2) and B(7, 4). Find the equation of the line on which R must lie.
Markscheme and model answer locked
Unlock Question19Find4 marks
2026• Aimnova practice — 2.1.3
Line L has equation 3x + y − 6 = 0. Find the equation of the line through (2, −1) perpendicular to L.
Markscheme and model answer locked
Unlock Question20Find4 marks
2026• Aimnova practice — 2.1.3
The line through (a, 0) and (0, 6) is perpendicular to the line y = 3x. Find the value of a.
Markscheme and model answer locked
Unlock QuestionReady to practice Topic 2.1?
Get instant AI feedback on your answers, view detailed markschemes, and track your progress across all IB Math AA SL topics.