Variables $x$ and $y$ are related in such a way such that, when $\frac{x}{y}$ is plotted

Question

Variables $x$ and $y$ are related in such a way such that, when $\frac{x}{y}$ is plotted against $e^{x}$, a straight line is produced. The line passes through the points $(2, 4)$ and $(7, 19)$ as shown in the diagram. Find $y$ in terms of $x$.

Accepted Answer

$y = \frac{x}{3\mathrm{e}^{x} - 2}$

Linear Law - Interpreting Linearised Graphs and Finding Constants

Linear Law - Interpreting Linearised Graphs and Finding Constants

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