<p>The variables $x$ and $y$ are related by the equation $y=a{{b}^{x}}-3$. When&nbsp;$\lg \left( y+3 \right)$ is plotted against $x$, a straight line graph is obtained which passes through $\left( -2,5 \right)$ and $\left( 10,-1 \right)$. Find the value of $a$ and $b$.</p>

The variables $x$ and $y$ are related by the equation $y=a{{b}^{x}}-3$. When $\lg \left( y+3 \right)$ is plotted against $x$, a straight line graph is obtained which passes through $\left( -2,5 \right)$ and $\left( 10,-1 \right)$. Find the value of $a$ and $b$.

Linear Law

Question 35f2f4dd