1. The problem asks to find the slope of the line perpendicular to a given line and then write the equation of the perpendicular line using point-slope form. 2. The slope of the given line is $\frac{4}{3}$, so the slope of the line perpendicular to it should be the negative reciprocal, which is $-\frac{3}{4}$. 3. Alejandro's Step 2 states the slope of the perpendicular line as $\frac{4}{3}$, which is incorrect because it should be $-\frac{3}{4}$. 4. Step 3 uses the incorrect slope $-\frac{4}{3}$ in the point-slope form equation $y - (-2) = -\frac{4}{3}(x - 3)$, which is also wrong. 5. Step 4 simplifies the equation to $y + 2 = -\frac{4}{3}(x - 3)$, continuing the error. 6. Therefore, Alejandro made his first error in Step 2 by incorrectly identifying the slope of the perpendicular line. Final answer: Alejandro's first error is in Step 2.