Year 11 Maths - Methods A gallery of graphs

Determining Rules

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Questions

Question 1

29155

The rectangular hyperbola \(y = \dfrac{k}{x} + 2\) passes through the point \(\left( { - 1,4} \right)\). Find the value of \(k\).

Answer

\(k = - 2\)

Worked Solution

\begin{align}
&(-1,4) \text{ lies on } y=\frac{k}{x}+2\\
&\qquad \begin{aligned}
\therefore 4&=\frac{k}{-1}+2 \\
-k&=2 \\
\therefore k&=-2 \\
\end{aligned}
\end{align}