<p>Variables $x$ and $y$ are connected by the equation $y={{10}^{k-nx}}$, where&nbsp;$n$ and $k$ are constants. When a graph of $\lg y$ is plotted against $x$, a straight line passing through the points $\left( 2,4 \right)$ and $\left( 7,5 \right)$ is obtained. Find the value of $n$ and $k$.</p>

Variables $x$ and $y$ are connected by the equation $y={{10}^{k-nx}}$, where $n$ and $k$ are constants. When a graph of $\lg y$ is plotted against $x$, a straight line passing through the points $\left( 2,4 \right)$ and $\left( 7,5 \right)$ is obtained. Find the value of $n$ and $k$.

Linear Law

Question 106c2c34