Unit 2: Functions
Topic 2.1: Linear Functions Questions
Practice 16 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.
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2026• Aimnova practice — 2.1.2
Find the gradient of a line perpendicular to y = (3/4)x + 1.
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2026• Aimnova practice — 2.1.1
Find the gradient of the line passing through A(−1, 3) and B(2, 12).
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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.
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2026• Aimnova practice — 2.1.2
Find the equation of the line through (4, 1) perpendicular to y = 2x − 3.
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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.
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2026• Aimnova practice — 2.1.1
Find where the line y = (3/4)x − 6 crosses
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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.
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2026• Aimnova practice — 2.1.1
The line through (0, 5) and (k, 11) has gradient 2. Find the value of k.
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2026• Aimnova practice — 2.1.1
A line passes through (−2, 7) and (4, −5).
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2026• Aimnova practice — 2.1.1
A line is given by 2x − 5y + 10 = 0.
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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.
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2026• Aimnova practice — 2.1.2
Points A(−1, 2) and B(3, 10) are given.
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2026• Aimnova practice — 2.1.2
The line through (a, 0) and (0, 6) is perpendicular to the line y = 3x. Find the value of a.
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2026• Aimnova practice — 2.1.2
A triangle has vertices P(0, 0), Q(4, 2) and R(2, k). Given that PQ is perpendicular to QR, find the value of k.
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2026• Aimnova practice — 2.1.2
Line L has equation 3x + y − 6 = 0. Find the equation of the line through (2, −1) perpendicular to L.
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