IB Maths AA SL 2.1 Straight lines Question Bank

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

Exam points

Calculate gradients and construct straight-line equations from points, intercepts or parallel conditions.
Solve intersections and interpret coordinates, slope or intercept in a stated diagram or context.
Check signs and substitution by testing a known point on the final straight-line equation.

[Maximum number: 1]

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 SL 2.1—Straight lines 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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SL 2.1—Straight lines question 1