Question 28 - Math: Calculator Practice Test for the SAT Exam

If \(z = \frac{2}{3}y + 3\), \(y = \frac{4}{3}x - 2\), and \(x = \frac{1}{2}w + 5\), what is the slope of the line perpendicular to the line generated by expressing z in terms of w?

\[\frac{9}{4}\]
\[\frac{4}{9}\]
\[-\frac{4}{9}\]
\[-\frac{9}{4}\]

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