4 The variables \(x\) and \(y\) are related by an equation of the form
$$y = a x ^ { b }$$
where \(a\) and \(b\) are constants.
- Using logarithms to base 10 , reduce the relation \(y = a x ^ { b }\) to a linear law connecting \(\log _ { 10 } x\) and \(\log _ { 10 } y\).
- The diagram shows the linear graph that results from plotting \(\log _ { 10 } y\) against \(\log _ { 10 } x\).
\includegraphics[max width=\textwidth, alt={}, center]{49539feb-f842-49f4-b809-72e8147072e7-3_711_1223_1503_411}
Find the values of \(a\) and \(b\).