IB skill practice

Interpret slope fields

Use slope-field information to infer solution direction and approximate behaviour.

Paper 1, Paper 2 5 marks Difficulty 5

Interpret slope fields - graph-supported reasoning

A slope field represents \(\frac{dy}{dx}=x-0.5y\). Find the slope of the solution curve at \((2,1)\). Enter the requested value and choose the interpretation that matches the result.

Worked practice: result and interpretation

Calculate the requested result first, then choose the interpretation that follows from it.