IB Maths AA SL 2.1 Straight Lines Questions

Practise IB Maths AA SL 2.1 through questions on gradients, line equations, intersections and coordinate-geometry interpretation.

Exam points

Calculate a gradient and construct the equation of a straight line from points, intercepts, a parameter or a parallel/perpendicular condition.
Solve a line intersection or coordinate problem and interpret the slope, intercept or resulting point in the stated diagram or model.
Check the line equation by substituting a known point and preserving the sign and gradient conditions.

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

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Consider the function $f(x)=\frac{2}{\pi} \sin (3 \pi x)+2$ , where $0 \leq x \leq 2$ . The following diagram shows the graph of f.

Figure for Question IB Maths AA SL 2.1 Straight Lines Questions question 1 — IB Maths AA SL

Write down the gradient of the line $L_{1}$ .

The line $L_{1}$ is normal to the graph of f at point A(1,2).
The line $L_{2}$ is tangent to the graph of f at A .

$\quad\left(m_{L_{1}}=\right) 0.167\left(=\frac{1}{6}\right)$

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IB Maths AA SL 2.1 Straight Lines Questions question 1