(a)[3]
Show that the graph of $y$ against $x$ forms a straight line.
(b)[2]
Given that $a = b^3$, state the line equation in the form $y = px + q$, with $p$ and $q$ written as rational numbers in simplest form.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
The variables $x$ and $y$ are related by $a^{2y-1} = b^{x-y}$, with $a$ and $b$ constant.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Take logarithms to reach an expression such as $(2y-1)\ln a=(x-y)\ln b$” …
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