A student investigates the relationship between the luminosity of a star and its mass. The student obtains data of relative luminosity $$\(\lambda\)$$ and relative mass $$\(\mu\)$$ for six stars, where $$\[ \lambda=\frac{\text { luminosity of star }}{\text { luminosity of Sun }} \]$$ and $$\[ \mu=\frac{\text { mass of star }}{\text { mass of Sun }} \]$$ It is suggested that $$\(\lambda\)$$ and $$\(\mu\)$$ are related by the equation $$\[ \lambda=k \mu^{n} \]$$ where $$\(k\)$$ and $$\(n\)$$ are constants. A graph is plotted of $$\(\lg \lambda\)$$ on the $$\(y\)$$-axis against $$\(\lg \mu\)$$ on the $$\(x\)$$-axis. Determine expressions for the gradient and $$\(y\)$$-intercept. $$\[ \begin{array}{r} \text { gradient }= \\ y \text {-intercept }= \end{array} \]$$ ........................................................... ...........................................................

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